1. (i) Find all four square roots of 61 in Z247. (ii) Show that r³7 = x for all r E Z217- (iii) In the RSA public key cryptosystem a user has public key N = 527 (the modulus) and e = 11 (the encryption exponent). Determine the user's private key d (the decryption exponent) %3D

1. (i) Find all four square roots of 61 in Z247. (ii) Show that r³7 = x for all r E Z217- (iii) In the RSA public key cryptosystem a user has public key N = 527 (the modulus) and e = 11 (the encryption exponent). Determine the user's private key d (the decryption exponent) %3D

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

1. (i) Find all four square roots of 61 in Z247.
(ii) Show that r37 = x for all a E Z217.
(iii) In the RSA public key cryptosystem a user has public key N = 527 (the modulus)
and e = 11 (the encryption exponent). Determine the user's private key d (the
decryption exponent)

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