Threshold Implementations of all 3x3 and 4x4 S-boxes

B.  Bilgin; S. Nikova; V. Nikov; V. Rijmen; G. Stütz

Paper 2012/300 Original: eprint.iacr.org/2012/300 ↗

Threshold Implementations of all 3x3 and 4x4 S-boxes

B. Bilgin

S. Nikova

V. Nikov

V. Rijmen

G. Stütz

Abstract

Side-channel attacks have proven many hardware implementations of cryptographic algorithms to be vulnerable. A recently proposed masking method, based on secret sharing and multi-party computation methods, introduces a set of sufficient requirements for implementations to be provably resistant against first-order DPA with minimal assumptions on the hardware. The original paper doesn't describe how to construct the Boolean functions that are to be used in the implementation. In this paper, we derive the functions for all invertible $3 \times 3$, $4 \times 4$ S-boxes and the $6 \times 4$ DES S-boxes. Our methods and observations can also be used to accelerate the search for sharings of larger (e.g. $8 \times 8$) S-boxes. Finally, we investigate the cost of such protection.

Metadata

Available format(s): PDF
Publication info: Preprint.
History: 2012-06-23: last updated; 2012-06-03: published
Short URL: https://ia.cr/2012/300
License: https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2012/300,
      author = {B.  Bilgin and S. Nikova and V. Nikov and V. Rijmen and G. Stütz},
      title = {Threshold Implementations of all 3x3 and 4x4 S-boxes},
      howpublished = {Cryptology {ePrint} Archive, Paper 2012/300},
      year = {2012},
      url = {https://eprint.iacr.org/2012/300}
}