New results on nonexistence of perfect \(p\)-ary sequences and almost \(p\)-ary sequences

DOI10.1007/s10114-015-4344-zzbMath1397.11163OpenAlexW2004010511MaRDI QIDQ256399

Ke Qin Feng, Hai Ying Liu

Publication date: 9 March 2016

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

Full work available at URL: https://doi.org/10.1007/s10114-015-4344-z

zbMATH Keywords

cyclotomic fielddifference setimaginary quadratic field\(p\)-ary and almost \(p\)-ary sequenceperfect sequence

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Congruences; primitive roots; residue systems (11A07) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (2)

Binary periodic sequences with 2-level autocorrelation values ⋮ Almost \(p\)-ary sequences

Cites Work

• Analytic aspects of the circulant Hadamard conjecture
• On non-existence of perfect and nearly perfect sequences
• Perfect and almost perfect sequences
• Generalized bent functions and class group of imaginary quadratic fields
• Nonexistence of Certain Almost p-ary Perfect Sequences
• Some Constructions of Almost-Perfect, Odd-Perfect and Perfect Polyphase and Almost-Polyphase Sequences
• Almost p-Ary Perfect Sequences

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