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What is MCFACT? “Just as it is hard to factor the product of two large primes, it is also hard to factor the composition of two finite automata.” Bruce Schneier, Applied Cryptography, John Wiley & Sons, 1996. Comment by Syncrosoft: The complexity class of factoring is unknown The complexity class of decomposition with regards to the number of states (N) is P The complexity class of decomposition with regards to the size of the bit vectors that represent states is unknown 22/108 Copyright 2008 Syncrosoft. All rights reserved. www.syncrosoft.com
What is MCFACT? MCFACT uses similar principles as FAPKC Renji Tao, Shihua Chen, “Finite automata public key cryptosystem and digital signature”, Computer Acta, Vol. 8, No. 6, 1985, pp. 401-409. (in Chinese) Public key cryptosystem based on finite automata Based on the decomposition problem 23/108 Copyright 2008 Syncrosoft. All rights reserved. www.syncrosoft.com
Page 2 and 3: Syncrosoft MCFACT TM Secure Data Pr
Page 4 and 5: MCFACT and Re-trust Challenge of Re
Page 6 and 7: Agenda for today What is MCFACT? (
Page 8 and 9: What is MCFACT? MCFACT [em see fakt
Page 10 and 11: What is MCFACT? Demonstration of ex
Page 12 and 13: = x 2 12/108 Copyright 2008 Syncros
Page 14 and 15: = x 3 = / 3 14/108 Copyright 2008 S
Page 16 and 17: = 1/13 16/108 Copyright 2008 Syncro
Page 18 and 19: = 2 = + = - 2 2 = + = - = -
Page 20 and 21: = Encode(Decode1( ) & Decode2( )) C
Page 24 and 25: What is MCFACT? FAPKC - broken but
Page 26 and 27: Applying MCFACT 26/108 Copyright 20
Page 28 and 29: Applying MCFACT Example Easy to us
Page 30 and 31: Applying MCFACT unsigned int findIn
Page 32 and 33: Applying MCFACT void Or( const _cal
Page 34 and 35: Applying MCFACT Speed and size Spe
Page 36 and 37: Applying MCFACT MCFACT is used by:
Page 38 and 39: AES white-box implementation Attack
Page 40 and 41: AES white-box implementation Attack
Page 42 and 43: AES white-box implementation Random
Page 44 and 45: AES white-box implementation Data i
Page 46 and 47: Supplemental slides: Questions, ple
Page 49 and 50: Automata or polynomials? XOR of num
Page 51 and 52: MCFACT vs obfuscation encrypt 1. To
Page 53 and 54: Control flow integrity MCFACT relie
Page 55: What else is Syncrosoft doing? Main
Page 59 and 60: . . 0 0 0 0 0 1 1 1 1 1 . . 0 0 1 1
Page 61 and 62: . . 0 0 0 0 0 1 1 1 1 1 . . 0 0 1 1
Page 63 and 64: . . 0 0 0 0 0 1 1 1 1 1 . . 0 0 1 1
Page 65 and 66: . . 0 0 0 0 0 1 1 1 1 1 . . 0 0 1 1
Page 67 and 68: . . 0 0 0 0 0 1 1 1 1 1 . . 0 0 1 1
Page 69 and 70: . . 0 0 0 0 0 1 1 1 1 1 . . 0 0 1 1
Page 71 and 72: . . 0 0 0 0 0 1 1 1 1 1 . . 0 0 1 1
Page 73 and 74:
. . 0 0 0 0 0 1 1 1 1 1 . . 0 0 1 1
Page 75 and 76:
. . 0 0 0 0 0 1 1 1 1 1 . . 0 0 1 1
Page 77 and 78:
. . 0 0 0 0 0 1 1 1 1 1 . . 0 0 1 1
Page 79 and 80:
. . 0 0 0 0 0 1 1 1 1 1 . . 0 0 1 1
Page 81 and 82:
. . 0 0 0 0 0 1 1 1 1 1 . . 0 0 1 1
Page 83 and 84:
2 7 6 = 3 1 + 2 4 5 9 3 = 3 * 3 1 .
Page 85 and 86:
. . 0 1 0 0 0 1 0 1 0 0 2 7 6 85/10
Page 87 and 88:
. . 0 1 0 0 0 1 0 1 0 0 2 7 6 87/10
Page 89 and 90:
. . 0 1 0 0 0 1 0 1 0 0 2 7 6 89/10
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1 0 0 . . 0 1 0 0 0 1 0 1 0 0 2 7 6
Page 93 and 94:
1 1 0 0 . . 0 1 0 0 0 1 0 1 0 0 2 7
Page 95 and 96:
1 1 1 0 0 . . 0 1 0 0 0 1 0 1 0 0 2
Page 97 and 98:
0 1 1 1 0 0 . . 0 1 0 0 0 1 0 1 0 0
Page 99 and 100:
1 0 1 1 1 0 0 . . 0 1 0 0 0 1 0 1 0
Page 101 and 102:
0 1 0 1 1 1 0 0 . . 0 1 0 0 0 1 0 1
Page 103 and 104:
0 0 1 0 1 1 1 0 0 . . 0 1 0 0 0 1 0
Page 105 and 106:
0 0 0 1 0 1 1 1 0 0 . . 0 1 0 0 0 1
Page 107 and 108:
. . 0 0 0 1 0 1 1 1 0 0 . . 0 1 0 0
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