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QUADRATIC APPROXIMATIONS OF THE SPECIAL TYPE FOR THE 4-BIT PERMUTATIONS IN SBOXES | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2008. № 1(1).

We consider quadratic approximations (for Boolean functions) of the special type and study the ability of applicationthem in nonlinear cryptanalysis of block ciphers. For 4-bit permutations with the most high nonlinearity recommended for usingin S-boxes of GOST 28147-89, DES, s3DES we show that for the all of them (excepting only one) there are quadratic equalitiesof the special type on input and output bits with probability more high than any linear equality has
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  • Title QUADRATIC APPROXIMATIONS OF THE SPECIAL TYPE FOR THE 4-BIT PERMUTATIONS IN SBOXES
  • Headline QUADRATIC APPROXIMATIONS OF THE SPECIAL TYPE FOR THE 4-BIT PERMUTATIONS IN SBOXES
  • Publesher Tomask State UniversityTomsk State University
  • Issue Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics 1(1)
  • Date:
  • DOI
Keywords
к-бент-функция , S-блок , квадратичный криптоанализ
Authors
References
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QUADRATIC APPROXIMATIONS OF THE SPECIAL TYPE FOR THE 4-BIT PERMUTATIONS IN SBOXES | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2008. № 1(1).
QUADRATIC APPROXIMATIONS OF THE SPECIAL TYPE FOR THE 4-BIT PERMUTATIONS IN SBOXES | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2008. № 1(1).
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