MODERN CRYPTOGRAPHY

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RSA: The Theory (2) RSA problem: Find e th roots modn • Knowledge of p,q solves RSA problem Conjectures: • RSA problem and integer factorisation are computationally equivalent • Factorisation is hard Conclusion: RSA is secure for sufficiently large n IMA 2009 36
RSA Security Problem The theoretical argument establishing the security of RSA assumes that to factor n the attacker will need to implement a (mathematical) factoring algorithm such as the number field sieve IMA 2009 37
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 and 22: What is Cryptography Now? • A thr
Page 23 and 24: Cryptographic conjectures made in 1
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: RSA: The Theory (1) n = pq where p,
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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