MODERN CRYPTOGRAPHY

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What is a Binary String? A bit string of length s might be regarded as: 1) A string of zeros and ones 2) A (coded) message 3) An integer for 0 to 2 s − 1 4) A sequence of integers 5) Coordinates to a look-up table 6) Vector in V(s,2) 7) Binary polynomial (degree at most s − 1) 8) Indicator set for integers 0 to s − 1 9) Entries in an incidence matrix 10) Your choice? IMA 2009 22
Cryptographic conjectures made in 1988 were settled in the 1960’s and 1970’s by geometers studying translation planes and spreads IMA 2009 23
Page 1 and 2: MODERN CRYPTOGRAPHY Fred Piper Code
Page 3 and 4: “Many cryptographic systems rely
Page 5 and 6: Two Types of Cipher System • Conv
Page 7 and 8: Cryptographic System • Design alg
Page 9 and 10: Implementing Cryptographic Algorith
Page 11 and 12: Side Channel Attacks To find a cryp
Page 13 and 14: Side Channel Attacks • Changed th
Page 15 and 16: Enigma Machine • Polyalphabetic c
Page 17 and 18: Lessons from Bletchley Park? • In
Page 19 and 20: Use of Cryptography Service • Con
Page 21: What is Cryptography Now? • A thr
Page 25 and 26: Key Search for DES 56 bit key requi
Page 27 and 28: DES: Key Search on Internet (1997)
Page 29 and 30: Fast DES Key Search DES Breaker use
Page 31 and 32: User Authentication and Data Integr
Page 33 and 34: Attacks on Scheme Implementing RSA
Page 35 and 36: RSA: The Theory (1) n = pq where p,
Page 37 and 38: RSA Security Problem The theoretica
Page 39 and 40: RSA Implementation RSA involves com
Page 41 and 42: Saints or Sinners ? Sender Receiver
Page 43: Cryptography and You • SSL • AT

MODERN CRYPTOGRAPHY

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