with respect to modular addition? Answer the following questions on RSA by consider the following parameters: p = 5, q = 7, e = 5,M = 3. e = 5 . Now, we need to compute d = e-1 mod f(n) by using backward substitution of GCD algorithm: According to GCD: 40 = 3 * 13 + 1. Encryption Example: In order to understand how encryption works when implemented we will practice an example using small prime factors. Here are those values: p = 1090660992520643446103273789680343 q = a. Answer to: Answer the following questions on RSA by consider the following parameters: p = 5, q = 7, e = 5, M = 3, a) What is the RSA modulus n? e=5 (so e, z relatively prime). RSA: encryption, decryption 0. given (n,e) and (n,d) as computed above 1.to encrypt message m ( Plug in p and q and find that n = 5*3 = 15 and f(15) =(5-1)(3-1)= 8 > n is called the modulus and f(n) as defined above is the Euler Phi Totient. 2. For example, it is easy to check that 31 and 37 multiply to 1147, but trying to find the factors of 1147 is a much longer process. As mentioned previously, \phi(n)=4*2=8 And therefore d is such that d*e=1 mod 8. Cryptography Tutorials - Herong's Tutorial Examples ∟ Introduction of RSA Algorithm ∟ Illustration of RSA Algorithm: p,q=7,19 This section provides a tutorial example to illustrate how RSA public key encryption algorithm works with 2 small prime numbers 7 and 19. Let E Be 7. Say, p = 5 and q = 7 . You are given that p = 5 and q = 3. RSA algorithm is asymmetric cryptography algorithm. (For ease of understanding, the primes p & q taken here are small values. If Not, Can You Suggest Another Option? The RSA Encryption Scheme is often used to encrypt and then decrypt electronic communications. > In RSA, p and q conventionally represent two distinct primes. What are n and z? Top right corner for field customer or partner logotypes. Let e = 11. a. Compute d. b. B. – p=5, q=11 • Compute n, and Φ(n) ... Fermat Factorization: example • Let us suppose Alice publishes the following information (herpublic key): • n=6557, e=131 • If weassume p > q, wecanalwayswrite: = − = - • Fermat factorization is efficient if p≅ q. Using RSA, choose p = 5 and q = 7, encode the phrase “hello”. RSA algorithm is an asymmetric cryptography algorithm which means, there should be two keys involve while communicating, i.e., public key and private key. Find a set of encryption/decryption keys e and d. 2. Example – Let a = 2 and p = 5, where gcd(2, 5) is 1 – ϕ(5) = 4 – 24 (mod 5) ≡ 16 (mod 5) ≡ 1. φ(6)=(2−1)(3−1)=2. Client receives this data and decrypts it. Calculate N, φ(n) , d, C (the encryption of M) Q2) Why the triple DES is more secure than double DES ? Compute N as the product of two prime numbers p and q: p. q. RSA { Encryption/Decryption { Example The encryption algorithm E: Everybody can encrypt messages m(0 m

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