Classification and Construction of quaternary self-dual bent functions

Classification and Construction of quaternary self-dual bent functions
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四元自对偶弯曲函数的分类与构造

DOI:
10.1007/s12095-017-0216-y
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发表时间:
2018-03
期刊:
Cryptography and Communications Discrete Structures, Boolean Functions and Sequences
影响因子:
--
通讯作者:
Patrick Solé
Patrick Solé
中科院分区:
其他
文献类型:
--
作者:
Lin Sok;Shi Minjia;Patrick Solé

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从存在性、构造性和对称性的角度研究了四元自对偶弯曲函数。给出了一种低维正交群下的轨道分类搜索算法。与自对偶弯曲布尔函数的联系表明它们不存在于奇数变量中。
Quaternary self-dual bent functions are studied from the viewpoints of existence, construction, and symmetry. A search algorithm is described to classify their orbits under the orthogonal group in low dimensions. A connection with self-dual bent Boolean functions shows that they do not exist in odd number of variables.
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