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LINEAR STRUCTURES OF PERMUTATION GROUPS OVER FINITE MODULES | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2008. № 1(1).

It is known thatmappings with linear structures are cryptographically bad. In this paper we describe biective mappings over finite modules withlinear structures using permutation groups
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  • Title LINEAR STRUCTURES OF PERMUTATION GROUPS OVER FINITE MODULES
  • Headline LINEAR STRUCTURES OF PERMUTATION GROUPS OVER FINITE MODULES
  • Publesher Tomask State UniversityTomsk State University
  • Issue Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics 1(1)
  • Date:
  • DOI
Keywords
сплетение групп , импримитивная группа , группа подстановок , модуль , линейная структура
Authors
References
Логачев О.А., Сальников А.А., Ященко В.В. Булевы функции в теории кодирования и криптологии. М.: МЦНМО, 2004.
Meier W., Staffelbach O. Nonlinearity criteria for cryptographic functions // EUROCRYPT'89. Springer Verlag, 1989.
Погорелов Б.А., Пудовкина M.A. Линейные структуры групп подстановок векторных пространств // Труды 3-й Междунар. конф. «Проблемы безопасности и противодействия терроризму, 2007». М.: МЦНМО, 2008.
Evertse J.H. Linear structures in block ciphers //EUROCRYPT '87. Springer Verlag,1987.
Chaum D., Evertse J.H. Cryptanalysis of DES with a reduced number of rounds sequences of linear factors in block ciphers // Crypto '85. Springer Verlag, 1985.
LINEAR STRUCTURES OF PERMUTATION GROUPS OVER FINITE MODULES | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2008. № 1(1).
LINEAR STRUCTURES OF PERMUTATION GROUPS OVER FINITE MODULES | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2008. № 1(1).
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