Generalized isotopic shift construction for APN functions

被引：10
|
作者：
Budaghyan, Lilya [1 ]
Calderini, Marco [1 ]
Carlet, Claude [1 ,2 ]
Coulter, Robert [3 ]
Villa, Irene [1 ]
机构：
[1] Univ Bergen, Dept Informat, PB 7803, N-5020 Bergen, Norway
[2] Univ Paris 08, LAGA, St Denis, France
[3] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2021年 / 89卷 / 01期
关键词：
APN functions; Isotopic shift; Vectorial Boolean functions;
D O I：
10.1007/s10623-020-00803-1
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this work we give several generalizations of the isotopic shift construction, introduced recently by Budaghyan et al. (IEEE Trans Inform Theory 66:5299-5309, 2020), when the initial function is a Gold function. In particular, we derive a general construction of APN functions which covers several unclassified APN functions for n = 8 and produces fifteen new APN functions for n = 9.
引用
收藏
页码：19 / 32
页数：14
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