幂排列x2k−1 / F2n*的回旋均匀性

2019 Ninth International Workshop on Signal Design and its Applications in Communications (IWSDA) Pub Date : 2019-10-01 DOI:10.1109/IWSDA46143.2019.8966114

Zhengbang Zha, L. Hu

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引用次数: 7

摘要

回旋镖均匀性是s盒的一个安全指标，用来衡量分组密码对回旋镖攻击的抵抗能力。本文研究了形式为x2k−1 / $\mathbb{F}_{2^n}$的幂置换的回旋均匀性。给出了x2k−1的微分均匀性与回旋均匀性之间的关系。特别是对于偶数n，幂排列x7的回巢均匀性完全确定。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Boomerang Uniformity of Power Permutations x2k−1 over F2n*

The boomerang uniformity is a safety index of S-boxes, which measures the resistance of block ciphers to the boomerang attack. In this paper, we investigate the boomerang uniformity of power permutations of the form x²^k⁻¹ over $\mathbb{F}_{2^n}$. As a result, the relationship between the differential uniformity and the boomerang uniformity of x²^k⁻¹ is given. Especially, for even n, the boomerang uniformity of power permutation x⁷ is completely determined.

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2019 Ninth International Workshop on Signal Design and its Applications in Communications (IWSDA)

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