On Boolean functions with the sum of every two of them being bent

Christian Bey; Gohar M. Kyureghyan

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On Boolean functions with the sum of every two of them being bent

机译：关于布尔函数，其中每两个的总和被折算

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摘要

A set of Boolean functions is called a bent set if the sum of any two distinct members is a bent function. We show that any bent set yields a homogeneous system of linked symmetric designs with the same design parameters as those systems derived from Kerdock sets. Further we observe that there are bent sets of size equal to the square root of the Kerdock set size which consist of Boolean functions with arbitrary degrees.

机译：如果任意两个不同成员的和为折弯函数，则一组布尔函数称为折弯集合。我们表明，任何弯曲集都会产生链接对称设计的同构系统，该系统具有与从Kerdock集派生的系统相同的设计参数。进一步地，我们观察到，弯曲集的大小等于Kerdock集大小的平方根，它由任意度数的布尔函数组成。

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来源
《Designs, Codes and Crytography》 |2008年第3期|p.341-346|共6页
作者
Christian Bey; Gohar M. Kyureghyan;
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作者单位

Fakultaet fuer Mathematik, Otto-von-Guericke Universitaet Magdeburg, Universitaetsplatz 2. 39106 Magdeburg, Germany;

Fakultaet fuer Mathematik, Otto-von-Guericke Universitaet Magdeburg, Universitaetsplatz 2. 39106 Magdeburg, Germany;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
bent function; kerdock set; system of linked symmetric designs; association scheme;

机译：弯曲功能船坞集;链接对称设计系统;关联方案;

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2. New characterizations and construction methods of bent and hyper-bent Boolean functions [J] . Mesnager Sihem, Mandal Bimal, Tang Chunming Discrete mathematics . 2020,第11期

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3. Bent and bent(4) spectra of Boolean functions over finite fields [J] . Anbar Nurdaguel, Meidl Wilfried Finite fields and their applications . 2017,第jula期

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4. Quaternary Generalized Boolean Bent Functions Obtained Through Permutation of Binary Boolean Bent Functions [C] . Radomir S. Stankovic, Milena Stankovic, Jaakko Astola, IEEE International Symposium on Multiple-Valued Logic . 2018

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On Boolean functions with the sum of every two of them being bent

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