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GVHD: 

 


 ..................................................................................................................... 1
 ......................................................................................................... 3
 ............................................................................................................... 4
 ................................................ 5
............................................................................................ 6
 ....................................................................... 7
 ....................................................................................................................... 8
 ............................ 10
1.1.  .............................................................................. 10
1.2.  ...................................................................................... 13
1.2.1.

 ................................................................................. 15

1.2.2.

 .............................................................. 17

1.2.3.  .................................................................... 23
1.2.4.  ................................................................25
 ............... 31
2.1.  ................................................................... 31
2.1.1.

 .................................................................................. 32


2.1.2.

 ............................................................................ 35

2.2. ................................................................................................ 37
2.2.1.

 ...................................................................................... 37

2.2.2.

 ...................................................................................... 39

2.2.3.

 ......................................................................... 41

2.3.  .................................................................................................. 43
2.3.1.

  .................................................................... 44

2.3.2.

 ...................................................................................... 46

2.3.3.

 ........................................................... 47


2.3.4.

 ................................................ 49

2.3.5.

......................................................... 50

2.4.  ............................................................................................ 51
2.4.1.

 ...................................................................................... 52

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1
170667494565821604a89-eef8-435c-8bd7-7096e8c9677e
1706674945658d91ab6df-3dcc-41b6-9d37-d8a550b7534d


GVHD: 

 

2.4.2.

................................................................... 53

2.4.3.

 .............................................................................. 55


2.5.  .................................................................................................. 59
2.5.1.

 ...................................................................................... 59

2.5.2.

 ................................................................................. 62

2.5.3.

 ................................................................................... 65

 
 ................................................................................ 69
3.1.  ............................................... 69
3.2.  ........................................................ 70
3.2.1.

 ............................................................................... 70

3.2.2.

 ......................................................................................... 74

3.2.2.1.

 ........................................................................... 74


3.2.2.2.

..................................................................... 74

3.2.2.3.

 .......................................................................... 76

3.2.2.4.

Báo cáo ................................................................................................... 77

3.2.3.

 .................................................................................... 77

3.3.

 ........................................................................... 84

3.4.

 ..................................................................................... 94

 ....................................................................................... 96
A.

 .............................................................................................................. 96

B.


 ................................................................ 96

C.

 ........................................................................... 97

 ........................................................................................... 98

2


GVHD: 

 


T t
 

công tácl

 


.






3


GVHD: 

 


  
        ,  Công Ng   

   

 TS. 
 
   

T   ,
Trung tâm Cthông tin, 
- BIDV   

Sau cùng  
  
 







4


GVHD: 

 






NSD



KH

Khách n


KSV



GDV




PDF

Portable Document Format

CKS



BIDV



DSAP

Digital Signature Authentication Program - 


TTCNTT




CA

Certificate Authority  

SKC

Symmtric Key Crytosystem  


PKI

Public Key Infrastructure  


PKC

Public Key Cryptosystem  xem PKI

GCD

Greatest Common Divisor  

5


GVHD: 

 



 ......................................................................................... 45

và RSA ............................................................................................................ 63
 ...................................................... 69
 ........................................................ 70
 ................................................................................ 78
 .................................................................................. 78
 ............................................................................. 79

 ........................................................................ 79
 ...................................................................................... 80
 .............................................................................. 80
 ............................................................. 80
 .................................................................... 81
 .......................................................................... 81
 ....................................................... 82
 .......................................................... 82
................................................................ 83
............................................................... 83
 ........................................ 85
 ................................ 86
.............................. 88
 .............................................. 89
 .................................. 91
 ................................ 92
................................ 93

6


GVHD: 

 



 ..................................................... 11
 ............................................ 14
 ............................................................ 22

 ...................................................... 27
..................................................... 28
......................................................................... 33
 ..................... 33
 .................... 36
 ......................................................................... 38
 ........................................................................ 40
-1 ..................................................................................... 42
 ......................................................................................... 45
 ....................................................................... 61
 ............................................... 64
 ............................................ 64
................................... 65
 .............................................................................. 94
h 19 ...................................................................... 94
 ................................................................ 95
 .................................................................. 95

7


GVHD: 

 


              


              


  [7] :
-



-




-

              


-



-

 
ác không
)

 
t tuy nhiên 
. Tuy nhiên g
hành 

c

 


       ông

8


GVHD: 

 

 trong  trao
 thông tin.

 - 





             


la 
 . các 
 . 
 . 

- BIDV

9


GVHD: 

 

: 
Trong chương 1 tác giả sẽ giới thiệu tổng quan về chữ ký số và các ứng dụng
thực  của chữ ký số để từ đó nêu ra mục đích của luận văn và đưa ra hướng giải
pháp, ứng dụng.
1.1. 
              
      


 

   
           
                
         

               


 


 


                
ao

10


GVHD: 

 




 






 
                   
 





1

  


11


GVHD: 

 

               



 



 




                  

              



 gian mà A và X tin



vào - 
 
khách hàng 
 
hàng.

12


GVHD: 

 

1.2. 

Chữ ký số khóa cơng khai (hay hạ tầng khóa cơng khai) là mơ hình sử dụng
các kỹ thuật mật mã để gắn với mỗi người sử dụng một cặp khóa cơng khai - bí mật
và qua đó có thể ký các văn bản điện tử cũng như trao đổi các thơng tin mật. Khóa
cơng khai thường được phân phối thơng qua chứng thực khóa cơng khai. Quá trình
sử dụng chữ ký số bao gồm 2 quá trình: tạo chữ ký và kiểm tra chữ ký. [13].
 
 
  

-




-

A là t

-

K 

-

ý

-



 Sigk  
Verk  VSigk và Verk k Verk
  P, y  A:
Ver(x,y) =

- True if y = Sig(x)
-

False if y <> Sig(x)

 K, Sigk và Verk  Verk là hàm công
khai và Sig k  

khóa k  
           


13


GVHD: 

 

  

y = SigkA            (x,y) thì
VerkA(x,y) 


2 (wiki)


-

              


      
         
               
              


14


GVHD: 

 



-



               
trong quá 

nó.

-




            
              



1.2.1. 


 [15].
1.2.1.1.


a. 



b. 
 
             


15


GVHD: 

 


1.2.1.2.


a.         



-van Antverpen)
b.  

         -Stop (Van Heyst &

Pedersen)
1.2.1.3.


a. : 
 

   theo          

 . [2]
b.  [3]
             
 
    

khác ký nó.            




16


GVHD: 

 

 

 
 
 
c.  ký (Multisignature): 
          


[1]
d. 




[11]
e.            


.[11]
f. 
g. 
1.2.2. 
1.2.2.1.

 

             



17



GVHD: 

 





 [14]:
a. 

công khai RSA ngày nay
Hệ quả 1: Sinh số nguyên tố thì dễ. Việc tìm ra một số nguyên tố ngẫu nhiên
với kích cỡ cho trước là dễ dàng.

 

                

             



 


    


Hệ quả 2 : Phép tính nhân là dễ : Với p và q cho trước, việc tính kết quả của
phép nhân n = pxq là dễ dàng.

18


GVHD: 

 

Ước lượng 3: Phân tích thừa số là khó : Với một số nguyên n là kết quả của
phép nhân số nguyên tố lớn, việc tìm lại các số nguyên tố thừa số p, q là rất khó.



   








.
b. 
                 
 n-1) và
 n--1 và q-1.



Hệ quả 4: Phép tính mũ hóa modul là dễ : Cho n,m và e. Việc tính c = me mod
n là dễ dàng


nhân (e-           

19


GVHD: 

 

 
dàng:
 Nhân  


 

Hệ quả 5 : Phép khai căn module – nghịch đảo của phép lũy thừa module.
Cho n, e, 

ên
-


Ước lượng 6: Phép khai căn modul lại khó ở một hồn cảnh khác











    bày qua

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