sample exam 2.pdf - MATH 470.502 Examination 2 NAME...

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MATH 470.502 NAME Examination 2 SIGNATURE November 17, 2014 “An Aggie does not lie, cheat, or steal or tolerate those who do.” This exam consists of 6 problems, numbered 1–6 . For partial credit you must present your work clearly and understandably and justify your answers. The use of calculators is permitted on this exam. The point value for each question is shown next to each question. You must turn your Exam Note Sheet in with this exam. CHECK THIS EXAMINATION BOOKLET BEFORE YOU START. THERE SHOULD BE 6 PROBLEMS ON 5 PAGES (INCLUDING THIS ONE). Do not mark in the box below. Points Possible Credit 1 12 2 12 3 16 4 12 5 10 6 20 Notes 5 Total 87
NAME MATH 470 Examination 2 Page 2 1. [12 points] Alice and Bob are using RSA to communicate. (a) Alice’s public encryption key is ( n, e ) = (133 , 5). Bob wants to encrypt the plaintext message ‘8’ to send to Alice. What is the ciphertext that he sends? (b) What is Alice’s decryption exponent? 2. [12 points] Bob’s ElGamal public key is ( p, α, β ) = (31 , 3 , 19), and his private key is a = 4.