Nonexistence of two classes of generalized bent functions

DOI10.1007/S10623-016-0319-ZzbMath1388.11074arXiv1507.06886OpenAlexW2963195098MaRDI QIDQ1675284

Jianing Li, Yingpu Deng

Publication date: 27 October 2017

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.06886

zbMATH Keywords

class groupscyclotomic fieldsgeneralized bent functionsprime ideal factorizations

Mathematics Subject Classification ID

Cryptography (94A60) Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

• Bent and generalized bent Boolean functions
• Nonexistence of generalized bent functions from \(\mathbb{Z}_{2}^{n}\) to \(\mathbb{Z}_{m}\)
• Generalized bent functions and their properties
• On ``bent functions
• Non-existence of some generalized bent functions.
• Generalized bent functions and class group of imaginary quadratic fields
• New results on nonexistence of generalized bent functions
• Bent functions on a finite nonabelian group
• New results on the nonexistence of generalized bent functions
• Bent-function sequences
• Bent functions on a finite Abelian group
• Bent functions from a finite abelian group into a finite abelian group
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