A new characterization of 2-resilient rotation symmetric Boolean functions

Jiao DU; Ziyu CHEN; Le DONG; Tianyin WANG; Shanqi PANG

doi:10.1587/transfun.2022EAL2096

This article has now been updated. Please use the final version.

A new characterization of 2-resilient rotation symmetric Boolean functions

Jiao DU, Ziyu CHEN, Le DONG, Tianyin WANG, Shanqi PANG

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Keywords: Cryptography, Rotation symmetry, Support table, Orthogonal array, Resilient function

JOURNAL FREE ACCESS Advance online publication

Article ID: 2022EAL2096

DOI https://doi.org/10.1587/transfun.2022EAL2096

The final version of this article is now available: Vol. E106.A (2023), No. 9 pp. 1268-1271

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Abstract

In this paper, the notion of 2-tuples distribution matrices of the rotation symmetric orbits is proposed, by using the properties of the 2-tuples distribution matrix, a new characterization of 2-resilient rotation symmetric Boolean functions is demonstrated. Based on the new characterization of 2-resilient rotation symmetric Boolean functions, constructions of 2-resilient rotation symmetric Boolean functions (RSBFs) are further studied, and new 2-resilient rotation symmetric Boolean functions with prime variables are constructed.

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