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Construction of Optimal 4-bit S-boxes by Quasigroups of Order 4

Authors:
Hristina Mihajloska
Danilo Gligoroski

Keywords: lightweight cryptography; quasigroups; quasigroup string transformations; S-boxes

Abstract:
We present a new method for constructing cryptographically strong 4x 4-bit S-boxes with the help of quasigroups of order 4. So far, cryptographers were constructing 4 x4-bit S-boxes used in cryptographic primitives suitable for lightweight cryptography, only by exhaustive search of permutations of order 16. Our construction of 4x 4-bit Quasigroup-S-boxes (Q-S-boxes) uses quasigroup string transformations. This methodology enables someone to work basically with several different strong S-boxes iteratively reusing only one hardware circuit and just changing a few parameters (called leaders in our method).

Pages: 163 to 168

Copyright: Copyright (c) IARIA, 2012

Publication date: August 19, 2012

Published in: conference

ISSN: 2162-2116

ISBN: 978-1-61208-209-7

Location: Rome, Italy

Dates: from August 19, 2012 to August 24, 2012