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Boomerang uniformity of a class of power maps
Designs, Codes and Cryptography ( IF 1.4 ) Pub Date : 2021-09-15 , DOI: 10.1007/s10623-021-00944-x
Sartaj Ul Hasan 1 , Mohit Pal 1 , Pantelimon Stănică 2
Affiliation  

We consider the boomerang uniformity of an infinite class of (locally-APN) power maps and show that their boomerang uniformity over the finite field \(\mathbb {F}_{2^n}\) is 2 and 4, when \(n \equiv 0 \pmod 4\) and \(n \equiv 2 \pmod 4\), respectively. As a consequence, we show that for this class of power maps, the differential uniformity is strictly greater than their boomerang uniformity.



中文翻译:

一类功率图的回旋镖均匀性

我们考虑无限类(局部 APN)功率图的回旋镖均匀性,并表明它们在有限域\(\mathbb {F}_{2^n}\)上的回旋镖均匀性为 2 和 4,当\( n \equiv 0 \pmod 4\)\(n \equiv 2 \pmod 4\)分别。因此,我们表明,对于此类功率图,差分均匀度严格大于它们的回旋镖均匀度。

更新日期:2021-09-16
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