Paper 2016/666

Construction of resilient S-boxes with higher-dimensional vectorial outputs and strictly almost optimal nonlinearity

WeiGuo Zhang, LuYang Li, and Enes Pasalic

Abstract

Resilient substitution boxes (S-boxes) with high nonlinearity are important cryptographic primitives in the design of certain encryption algorithms. There are several trade-offs between the most important cryptographic parameters and their simultaneous optimization is regarded as a difficult task. In this paper we provide a construction technique to obtain resilient S-boxes with so-called strictly almost optimal (SAO) nonlinearity for a larger number of output bits $m$ than previously known. This is the first time that the nonlinearity bound $2^{n-1}-2^{n/2}$ of resilient $(n,m)$ S-boxes, where $n$ and $m$ denote the number of the input and output bits respectively, has been exceeded for $m>\lfloor\frac{n}{4}\rfloor$. Thus, resilient S-boxes with extremely high nonlinearity and a larger output space compared to other design methods have been obtained.

Note: The title of this paper is changed

Metadata
Available format(s)
PDF
Publication info
Published elsewhere. Minor revision. IET Information Security
DOI
10.1049/iet-ifs.2016.0168
Keywords
Boolean functionsnonlinearityresiliencyS-boxesstream ciphers
Contact author(s)
weiguozhang @ vip qq com
History
2016-09-13: revised
2016-07-01: received
See all versions
Short URL
https://ia.cr/2016/666
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2016/666,
      author = {WeiGuo Zhang and LuYang Li and Enes Pasalic},
      title = {Construction of resilient S-boxes with higher-dimensional vectorial outputs and strictly almost optimal nonlinearity},
      howpublished = {Cryptology ePrint Archive, Paper 2016/666},
      year = {2016},
      doi = {10.1049/iet-ifs.2016.0168},
      note = {\url{https://eprint.iacr.org/2016/666}},
      url = {https://eprint.iacr.org/2016/666}
}
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