TERNARY FUNCTIONS WITH BENT REED-MULLER-FOURIER SPECTRA

被引：0

作者：

Moraga, Claudio ^{[1
,2
]}

Stankovic, Radomir ^{[3
,4
]}

Stankovic, Milena ^{[5
]}

机构：

[1] Tech Univ Dortmund, D-44221 Dortmund, Germany

[2] Univ Tecn Federico Santa Maria, Valparaiso, Chile

[3] Fac Elect Engn, Dept Comp Sci, Niaa 18000, Serbia

[4] Math Inst SASA, Belgrade 11000, Serbia

[5] Univ Nis, Fac Elect Engn, Nish 18000, Serbia

来源：

JOURNAL OF APPLIED LOGICS-IFCOLOG JOURNAL OF LOGICS AND THEIR APPLICATIONS | 2022年 / 9卷 / 03期

关键词：

RMF transform; bent functions; restricted tensor sum;

D O I：

暂无

中图分类号：

B81 [逻辑学（论理学）];

学科分类号：

010104 ; 010105 ;

摘要：

Ternary functions which have a bent Reed-Muller-Fourier (RMF) spectrum are introduced. Necessary conditions for a function to have this property are established. A classification of ternary 2-place functions having a bent RMF spectrum in 6 classes is given and it is shown that these classes are related by spectral invariance operations. Moreover, a compact database of those ternary functions with bent RMF spectra is provided. Ternary bent functions having the same value vector as their respective RMF bent spectra are known as fixed points. The paper generalizes this concept to rotational fixed points when the value vector of a function equals its spectra shifted by a constant. Finally, a method is introduced to generate n-place ternary functions with bent RMF spectrum when n > 2.

引用

页码：737 / 756

页数：20

共 50 条

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