Nonexistence results of generalized bent functions from \(\mathbb{Z}_2^n\) to \(\mathbb{Z}_m\)

DOI10.1016/j.jcta.2023.105763zbMath1530.94079MaRDI QIDQ6162864

Songtao Mao, Ka Hin Leung, Shuxing Li

Publication date: 26 June 2023

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

zbMATH Keywords

nonexistencegeneralized bent functionsfield descentvanishing sums

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Boolean functions (94D10)

Cites Work

• Bent and generalized bent Boolean functions
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• Four decades of research on bent functions
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• Finite geometry and character theory
• On vanishing sums of roots of unity.
• A survey on \(p\)-ary and generalized bent functions
• New nonexistence results on \((m, n)\)-generalized bent functions
• The field descent method
• Trigonometric diophantine equations (On vanishing sums of roots of unity)
• Cyclotomic integers and finite geometry
• Full Characterization of Generalized Bent Functions as (Semi)-Bent Spaces, Their Dual, and the Gray Image
• Further Results on Generalized Bent Functions and Their Complete Characterization
• ${\BBZ}_4$-Valued Quadratic Forms and Quaternary Sequence Families
• Quaternary Constant-Amplitude Codes for Multicode CDMA
• Complete Characterization of Generalized Bent and 2^k-Bent Boolean Functions

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