Two classes of p-ary bent functions and linear codes with three or four weights

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• 作者：Guangkui Xu ; Xiwang Cao ; Shanding Xu
• 关键词：p ; ary bent function ; Walsh transform ; Linear codes ; Weight distribution
• 刊名：Cryptography and Communications
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：9
• 期：1
• 页码：117-131
• 全文大小：
• 刊物类别：Computer Science
• 刊物主题：Data Structures, Cryptology and Information Theory; Coding and Information Theory; Communications Engineering, Networks; Information and Communication, Circuits; Mathematics of Computing;
• 出版者：Springer US
• ISSN：1936-2455
• 卷排序：9

文摘

In this paper, a secondary construction of p-ary bent functions is presented. Two classes of p-ary bent functions of algebraic degree p are constructed by modifying the values of some known bent functions on some set of \(\mathbb {F}_{p^{2k}}\). Furthermore, the resulted p-ary bent functions are employed to construct a class of linear codes with three or four weights.