Constructions of S-boxes with uniform sharing

Kerem Varici; Svetla Nikova; Ventzislav Nikov; Vincent Rijmen

Paper 2018/092

Constructions of S-boxes with uniform sharing

Kerem Varici, Svetla Nikova, Ventzislav Nikov, and Vincent Rijmen

Abstract

In this paper we focus on S-box constructions. We consider the uniformity property of an S-box which plays an important role in Threshold Implementations (TI). Most papers so far have studied TI sharings for given S-boxes. We proceed in the opposite way: starting from $n$-bit S-boxes with known sharings we construct new $(n+1)$-bit S-boxes from them with the desired sharings. In addition, we investigate the self-equivalency of S-boxes and show some interesting properties.

Metadata

Available format(s): PDF
Category: Secret-key cryptography
Publication info: Preprint. MINOR revision.
Keywords: S-box constructions Threshold implementations Shannon's expansion
Contact author(s): svetla nikova @ esat kuleuven be
History: 2018-02-12: revised; 2018-01-28: received; See all versions
Short URL: https://ia.cr/2018/092
License: CC BY

BibTeX

@misc{cryptoeprint:2018/092,
      author = {Kerem Varici and Svetla Nikova and Ventzislav Nikov and Vincent Rijmen},
      title = {Constructions of S-boxes with uniform sharing},
      howpublished = {Cryptology {ePrint} Archive, Paper 2018/092},
      year = {2018},
      url = {https://eprint.iacr.org/2018/092}
}