Paper 2011/522 Original: eprint.iacr.org/2011/522 ↗

A Compact S-Box Design for SMS4 Block Cipher

Imran Abbasi
Mehreen Afzal
Abstract

This paper proposes a compact design of SMS4 S-box using combinational logic which is suitable for the implementation in area constraint environments like smart cards. The inversion algorithm of the proposed S-box is based on composite field GF(((22)2)2) using normal basis at all levels. In our approach, we examined all possible normal basis combinations having trace equal to one at each subfield level. There are 16 such possible combinations with normal basis and we have compared the S-box designs based on each case in terms of logic gates it uses for implementation. The isomorphism mapping and inverse mapping bit matrices are fully optimized using greedy algorithm. We prove that our best case reduces the complexity upon the SMS4 S-box design with existing inversion algorithm based on polynomial basis by 15% XOR and 42% AND gates.

Metadata
Available format(s)
PDF
Category
Implementation
Publication info
Preprint.
History
2011-09-25: last updated
2011-09-25: published
Short URL
https://ia.cr/2011/522
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2011/522,
      author = {Imran Abbasi and Mehreen Afzal},
      title = {A Compact S-Box Design for SMS4 Block Cipher},
      howpublished = {Cryptology {ePrint} Archive, Paper 2011/522},
      year = {2011},
      url = {https://eprint.iacr.org/2011/522}
}
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