The relationship between the nonexistence of generalized bent functions and Diophantine equations

DOI10.1007/S10114-011-8198-8zbMath1261.11091OpenAlexW2092302236MaRDI QIDQ546371

Qin Yue, Feng Mei Liu

Publication date: 24 June 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-8198-8

zbMATH Keywords

Diophantine equationintegral basisgeneralized bent function

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Class numbers, class groups, discriminants (11R29) Diophantine equations in many variables (11D72)

Related Items (1)

Highly nonlinear functions

Cites Work

• 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
• A note on generalized bent functions
• 8-ranks of class groups of some imaginary quadratic number fields
• New results on non-existence of generalized bent functions. II
• New results on the nonexistence of generalized bent functions
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