tailieunhanh - ASYMETRIC-KEY CRYPTOGRAPHY

TRAPDOOR ONE-WAY FUNCTIONThe main idea behind asymmetric-key cryptography is the concept of the trapdoor one-way function. TrapdoorOne-WayFunction(TOWF) One-WayFunction(OWF) . 2. f −1 is difficult to compute. 3. Given y and a trapdoor, x can be computed easily. | ASYMETRIC-KEY CRYPTOGRAPHY Le Trong Ngoc letrongngoc@ MODERN CIPHERS 1 TRAPDOOR ONE-WAY FUNCTION 2 FACTORIZATION 3 DISCRETE LOGARITHM 4 RSA CRYPTOSYSTEM 5 ELGAMAL CRYPTOSYSTEM 1 1 TRAPDOOR ONE-WAY FUNCTION The main idea behind asymmetric-key cryptography is the concept of the trapdoor one-way function. One-Way Function OWF 1. f is easy to compute. 2. f -1 is difficult to compute. Trapdoor One-Way Function TOWF 3. Given y and a trapdoor x can be computed easily. 1 TRAPDOOR ONE-WAY FUNCTION factorization problem When n is large n p X q is a one-way function. Given p and q it is always easy to calculate n given n it is very difficult to compute p and q. This is the factorization problem. Discrete logarithm problem When n is large the function y xk mod n is a trapdoor one-way function. Given x k and n it is easy to calculate y. Given y k and n it is very difficult to calculate x. This is the discrete logarithm problem. However if we know the trapdoor k such that k X k 1 mod f n we can use x yk mod n to find x. 2 2 FACTORIZATION 2 FACTORIZATION n X2 - y2 a X b with a X y and b X - y Feramat-Factorization n Il is the number to be factored X 4 Jn while x n smallest integer greater than Jĩi w t-x -n if w is perfect square y X X I 1 1 Jw at x y b x y return a and b

• An ninh - Bảo mật
• modern ciphers
• trapdoor one way function
• factorization
• elgamal cryptosystem
• discrete logarithm
• rsa cryptosystem
• Lecture Cryptography and network security
• Cryptography and network security
• Symmetric key Ciphers
• Modern block cipher
• Feistel Ciphers
• Modern Symmetric Key Ciphers
• Electronic Codebook
• Cipher Block Chaining
• Cipher Feedback
• Lý thuyết mật mã
• An toàn thông tin
• Bài giảng An toàn thông tin
• Mật mã RSA
• Mã hóa và giải mã
• Tính bảo mật của RSA
• International Journal of Computer Networks and Communications Security
• Cryptosystem an implementation of RSA using verilog
• RSA using verilog
• Right to left binary method
• Develop 64 bit RSA encryption engine
• The NTRU Cryptosystem
• Implementation and Comparative Analysis
• The RSA cryptosystem
• The NTRU Algorithm
• Project Software Implementation of NTRU
• Empirical Speed Comparison of NTRU to RSA
• Advanced Algorithms Analysis and Design
• Lecture Advanced Algorithms Analysis and Design
• Bài giảng Phân tích và thiết kế thuật toán nâng cao
• Chinese remainder theorem
• Modular arithmetic
• String matching
• Fermat theorem
• Symmetric key cryptosystem
• Public key cryptosystem
• One way function
• More number Theory
• The order of group elements
• Cryptool it
• Symmetric Key Cryptography
• Knapsack cryptosystem
• Analyze DES
• Bảo mật thông tin
• bảo mật thông tin
• mã bảo mật
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• giải mã bản mã điện tử
• Thuật toán RSA
• Introduction to Cryptography
• Introduction data Security
• Stream Ciphers
• The Advanced Encryption Standard
• Internal Structure of AES
• Introduction to Public Key Cryptography
• PayShield 9000
• Host programmer’s manual
• PIN operations
• Transaction key schemes
• Methods of public key cryptography
• Public key cryptography
• Diffie hellman key exchange
• Elgamal protocol