Nonexistence of generalized bent functions from <span class="a-plus-plus inline-equation id-i-eq1"> <span class="a-plus-plus equation-source format-t-e-x" xmlns:search="http://marklogic.com/appservices/search">\(\mathbb {Z}_{2}^{n}\)span> span> to <span class="a-plus-plus inline-equation id-i-eq2"> <span class="a-plus-plus equation-source form

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• 作者：Haiying Liu ; Keqin Feng ; Rongquan Feng
• 关键词：Generalized bent function ; Imaginary quadratic field ; Cyclotomic field ; Class number ; Decomposition field
• 刊名：Designs, Codes and Cryptography
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：82
• 期：3
• 页码：647-662
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Combinatorics; Coding and Information Theory; Data Structures, Cryptology and Information Theory; Data Encryption; Discrete Mathematics in Computer Science; Information and Communication, Circuits;
• 出版者：Springer US
• ISSN：1573-7586
• 卷排序：82

文摘

In this paper, several nonexistence results on generalized bent functions \(f:\mathbb {Z}_{2}^{n} \rightarrow \mathbb {Z}_{m}\) are presented by using the knowledge on cyclotomic number fields and their imaginary quadratic subfields.