Assignment 5_biplav.docx - Chapter 10 Problems 10.7(10.8 10.11(10.12 10.12(~10.13 10.16(~10.14 Chapter 14 Problems 14.4 14.6 14.7 Chapter 15 Problems

# Assignment 5_biplav.docx - Chapter 10 Problems 10.7(10.8...

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Chapter 10, Problems 10.7 ( 10.8 ), 10.11 ( 10.12 ), 10.12 ( ~10.13 ), 10.16( ~10.14 ) Chapter 14, Problems 14.4, 14.6, 14.7 Chapter 15, Problems 15.8 – 15.13 Ans 10.7) 2Q = Also called the point at infinity and designated by O. This value serves as the additive identity in elliptic-curve arithmetic. 3Q = Ans 10.11) 4(a^3) + 27(b^2) mod 7 = 112 mod 7 = 0 This elliptic curve does not satisfy the condition and therefore does not define a group over Z 7 . Ans 10.12 ) E 7 (2,1). y^2 = x^3 + 2x + 1, p = 7. x x^3 + 2x + 1 mod 7 Square root mod p ? y Points 0 1 no 0 (0,0) 1 4 yes 1,6 (1,4),(1,6) 2 6 no 3 6 yes 3,4 (3,3),(3,4) 4 3 no 5 3 no 6 5 no The points are (0,0), (1,4), (1,6), (3,3) and (3,4). Ans 10.16) a) RHS = S + kY A = M – kX A G + kX A G after substituting the values of S and Y A = M = LHS b) The imposter gets Alice’s public verifying key Y A and sends Bob M, k, and S = = M – kY A for any k.

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Ans 14.4) Ans 14.6) Ans 14.7) a) PKIX identifies a number of management functions that potentially need to be supported by management protocols. These are: Registration: This is the process whereby a user first makes itself known to a CA (directly or through an RA), prior to that CA issuing a certificate or certificates for that user. Registration begins the process of
• Fall '19
• Cryptography, Public key infrastructure, Public-key cryptography, Certificate authority

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