Extended Criterion for Absence of Fixed Points

Oleksandr Kazymyrov; Valentyna Kazymyrova

Paper 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.

Metadata

Available format(s): PDF
Category: Secret-key cryptography
Publication info: Published elsewhere. Minor revision. CTCrypt2013
Keywords: S-box Block Cipher Fixed Point AES
Contact author(s): oleksandr kazymyrov @ ii uib no
History: 2014-06-12: revised; 2013-09-13: received; See all versions
Short URL: https://ia.cr/2013/576
License: CC BY

BibTeX

@misc{cryptoeprint:2013/576,
      author = {Oleksandr Kazymyrov and Valentyna Kazymyrova},
      title = {Extended Criterion for Absence of Fixed Points},
      howpublished = {Cryptology {ePrint} Archive, Paper 2013/576},
      year = {2013},
      url = {https://eprint.iacr.org/2013/576}
}