last name ID 1 c/cmaker/cbreaker 2012 exam version a 6 pages 3 hours 40 marks no electronic devices SHOW ALL WORK
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1 last name ID 1 c/cmaker/cbreaker 2012 exam version a 6 pages 3 hours 40 marks no electronic devices SHOW ALL WORK 8 a b c d e f g h i j k l m n o p q r s t u v w x y z 1 b c d e f g h i j k l m n o p q r s t u v w x y z a 3 c d e f g h i j k l m n o p q r s t u v w x y z a b 4 d e f g h i j k l m n o p q r s t u v w x y z a b c 12 e f g h i j k l m n o p q r s t u v w x y z a b c d 2 f g h i j k l m n o p q r s t u v w x y z a b c d e 2 g h i j k l m n o p q r s t u v w x y z a b c d e f 6 h i j k l m n o p q r s t u v w x y z a b c d e f g 7 i j k l m n o p q r s t u v w x y z a b c d e f g h 0 j k l m n o p q r s t u v w x y z a b c d e f g h i 1 k l m n o p q r s t u v w x y z a b c d e f g h i j 4 l m n o p q r s t u v w x y z a b c d e f g h i j k 2 m n o p q r s t u v w x y z a b c d e f g h i j k l 7 n o p q r s t u v w x y z a b c d e f g h i j k l m 8 o p q r s t u v w x y z a b c d e f g h i j k l m n 2 p q r s t u v w x y z a b c d e f g h i j k l m n o 0 q r s t u v w x y z a b c d e f g h i j k l m n o p 6 r s t u v w x y z a b c d e f g h i j k l m n o p q 6 s t u v w x y z a b c d e f g h i j k l m n o p q r 9 t u v w x y z a b c d e f g h i j k l m n o p q r s 3 u v w x y z a b c d e f g h i j k l m n o p q r s t 1 v w x y z a b c d e f g h i j k l m n o p q r s t u 2 w x y z a b c d e f g h i j k l m n o p q r s t u v 0 x y z a b c d e f g h i j k l m n o p q r s t u v w 2 y z a b c d e f g h i j k l m n o p q r s t u v w x 0 z a b c d e f g h i j k l m n o p q r s t u v w x y x * y (mod 23) α β χ δ ɛ φ γ θ ι κ λ µ ν o π ρ σ τ υ ω ξ ζ
2 last name ID 2 1. [8 marks] Assume Caesar spoke English. Encrypt we come to rescue as he did when he found his troops surrounded by Gauls. Assume Caesar spoke English. Encrypt i will be emperor as he would write in his diary. Which of these is the most likely plaintext for 1-time pad ciphertext iyxtybppzmewza? Why? firemissilenow retreatatdawnx sixhundredcash Encrypt lose weight fast with the ADFGVX cipher. Use the grid below and keyword trap. 0 A 1 B 2 C 3 D 4 E 5 F 6 G 7 H 8 I 9 J N O P Z K L Q R X Y M S T U V W
3 last name ID 3 2. [4 marks] sp oyh kyxf iyfl oyh nzil xy dsgnf fy rywavzsx According to Al Kindi, what are the first two substitutions you should try on this ciphertext? One plaintext word is vote. Break the cipher. 3. [4 marks] Using Vigenere with key grave, encrypt two can keep a secret if one is dead. Here are Vigenere ciphertext repeated 3-gram offsets: dtt 49 btd 147 tgf 91 mde 43 qpz 133. What is the likely keylength? Why? Are any of these a false positive?
4 last name ID 4 4. [6 marks] Align wettervorhersagere to start at the first possible position in the following Enigma ciphertext. Draw the Turing graph. List all cycles.... G S R P Q N H R W X R H I X S F U L E P P P... Describe the components of the Enigma (at the start of the war). Use this information to estimate the number of different keys. What do Rejewski s method and Turing s method have in common that allows their success? 5. [2 marks] Draw an evolutionary diagram including these ciphers: running key, RSA, polybius, 1-time pad, homophonic, substitution, Caesar, Vigenere, ADFGVX. (In the diagram, draw an arrow from A to B if B evolved from A.)
5 last name ID 5 6. [5 marks] DHM was created to solve what cryptographic problem? (at most 10 words) Alice and Bob use DHM with n = 23 and b = 5. Alice sends Bob 11. Bob sends Alice 10. You are Eve. Find Bob s secret number (see page 1) and find the number Alice and Bob create together. 7. [3 marks] Alice s RSA values are n = 2021 and e = 671. Bob encrypts his message (the number 877) with this system. Give a mathematical expression that equals the number Bob sends Alice. You are Eve = Find Alice s secret number d. The equations below might help * 7 = * 3 = * 1 = * 1 = 1 1 = 12 * * -1 1 = 23 * * 2 1 = 81 * * -7 1 = 590 * * 51
6 last name ID 6 8. [4 marks] (1,4) The table at left corresponds to the table at right (symbol number). For each symbol pair below, what if anything do the two symbols have in common, and why? (1,6) (2,3) What crib helped break this language? 9. [4 marks] Why is panel 1 funny? Why is panel 3 funny?
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