Searching for a different AES-class MixColumns operation

Authors:
Otokar Grošek;Pavol Zajac
Affiliations:
Slovak University of Technology, Department of Applied Informatics, Bratislava, Slovakia;Slovak University of Technology, Department of Applied Informatics, Bratislava, Slovakia
Venue:
ACS'06 Proceedings of the 6th WSEAS international conference on Applied computer science
Year:
2006

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Abstract

AES cipher, as defined in FIPS-197, represents an instance of a class of ciphers with some parametric settings. The choice is limited to a subset of "good parameters" according to defined design principles. In this paper we discuss a possibility to change AES-class MixColumns operation from theoretical and practical viewpoint. Theoretical part of the paper consists of a classification of the MixColumns parameter choices with respect to the multiplicative order, and the branch number respectively. Theoretical results are used to simplify and speed up an enumeration of the parameters suitable according to specific implementation constraints.