Cryptology ePrint Archive: Report 2013/576

Extended Criterion for Absence of Fixed Points

Oleksandr Kazymyrov and 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.

Category / Keywords: secret-key cryptography / S-box, Block Cipher, Fixed Point, AES

Original Publication (with minor differences): CTCrypt2013

Date: received 8 Sep 2013, last revised 12 Jun 2014

Contact author: oleksandr kazymyrov at ii uib no

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Version: 20140612:092945 (All versions of this report)

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