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10. Solve the following quadratic equation via the two different methods namely both classical and number field method: x2 = 501 mod 58913, where 58913 = 1 mod 8. 11. Bob wants to send the plaintext "ATTACK" to Alice via RSA cryptosystem, usin Alice's public key. Alice has to decrypt it. (i) How can Bob encrypt it? (ii) How Can Alice decrypt it? You must use your own two primes p and q and encryption key e coprime to o(n

10. Solve the following quadratic equation via the two different methods namely both classical and number field method: x2 = 501 mod 58913, where 58913 = 1 mod 8. 11. Bob wants to send the plaintext "ATTACK" to Alice via RSA cryptosystem, usin Alice's public key. Alice has to decrypt it. (i) How can Bob encrypt it? (ii) How Can Alice decrypt it? You must use your own two primes p and q and encryption key e coprime to o(n

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 63RE
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2' = 231 mod 32429, where 231(P-1)/4) = -1 mod p, 32429 = 5 mod 8. 10. Solve the following quadratic equation via the two different methods namely both classical and number field method: x2 = 501 mod 58913, where 58913 = 1 mod 8. 11. Bob wants to send the plaintext "ATTACK" to Alice via RSA cryptosystem, using Alice's public key. Alice has to decrypt it. (i) How can Bob encrypt it? (ii) How Can Alice decrypt it? You must use your own two primes p and q and encryption key e coprime to (n).
Transcribed Image Text:2' = 231 mod 32429, where 231(P-1)/4) = -1 mod p, 32429 = 5 mod 8. 10. Solve the following quadratic equation via the two different methods namely both classical and number field method: x2 = 501 mod 58913, where 58913 = 1 mod 8. 11. Bob wants to send the plaintext "ATTACK" to Alice via RSA cryptosystem, using Alice's public key. Alice has to decrypt it. (i) How can Bob encrypt it? (ii) How Can Alice decrypt it? You must use your own two primes p and q and encryption key e coprime to (n).
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