[Resource Topic] 2013/576: Extended Criterion for Absence of Fixed Points

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Title:
Extended Criterion for Absence of Fixed Points

Authors: Oleksandr Kazymyrov, Valentyna Kazymyrova

Abstract:

One of the criteria for substitutions used in block ciphers is the absence of fixed points. In this paper we show that this criterion must be extended taking into consideration a mixing key function. In practice, we give a description of AES when fixed points are reached. Additionally, it is shown that modulo addition has more advantages then XOR operation.

ePrint: https://eprint.iacr.org/2013/576

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