New open problems related to old conjectures by Helleseth

DOI10.1007/s12095-015-0137-6zbMath1358.11132arXiv1412.8530OpenAlexW1518484026WikidataQ122943831 ScholiaQ122943831MaRDI QIDQ269559

Daniel J. Katz, Philippe Langevin

Publication date: 19 April 2016

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.8530

zbMATH Keywords

exponential sumsfinite fieldscross-correlationWeil sumsM-sequence

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Exponential sums (11T23) Fuzzy sets and logic (in connection with information, communication, or circuits theory) (94D05)

Related Items

A survey on the applications of Niho exponents ⋮ The \(p\)-adic valuations of Weil sums of binomials ⋮ Exponential sums over finite fields ⋮ Cyclotomy of Weil sums of binomials ⋮ On Weil sums, conjectures of Helleseth, and Niho exponents

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