Generalized bent functions and class group of imaginary quadratic fields

DOI10.1007/BF02876704zbMath1003.11060OpenAlexW2044944199MaRDI QIDQ1609666

Ke Qin Feng

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02876704

zbMATH Keywords

imaginary quadratic fieldsgeneralized bent functions

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Quadratic extensions (11R11) Shift register sequences and sequences over finite alphabets in information and communication theory (94A55)

Related Items (8)

A relationship between the nonexistence of generalized bent functions and class groups ⋮ Nonexistence of two classes of generalized bent functions ⋮ Nonexistence results on generalized bent functions \(\mathbb{Z}_q^m \rightarrow \mathbb{Z}_q\) with odd \(m\) and \(q \equiv 2\pmod 4\) ⋮ Nonexistence of generalized bent functions from \(\mathbb{Z}_{2}^{n}\) to \(\mathbb{Z}_{m}\) ⋮ The relationship between the nonexistence of generalized bent functions and Diophantine equations ⋮ Non-existence of some generalized bent functions. ⋮ New results on nonexistence of generalized bent functions ⋮ New results on nonexistence of perfect \(p\)-ary sequences and almost \(p\)-ary sequences

Cites Work

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• Generalized bent functions and their properties
• On ``bent functions
• A note on generalized bent functions
• Number fields

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