On two applications of polynomials \(x^k-cx-d\) over finite fields and more

DOI10.1007/978-3-031-22944-2_2zbMath1529.11121OpenAlexW4314937958MaRDI QIDQ6113914

Unnamed Author, Ferruh Özbudak

Publication date: 10 August 2023

Published in: Arithmetic of Finite Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-22944-2_2

zbMATH Keywords

sonarradaralmost difference familiesoptical orthogonal codesoptical CDMAGolomb Costas permutationsplanar cyclic almost difference sets

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Other types of codes (94B60)

Cites Work

• Constructions of almost difference families
• Codebooks from almost difference sets
• The Magma algebra system. I: The user language
• Several classes of \((2^{m}-1,w,2)\) optical orthogonal codes
• On the intersection distribution of degree three polynomials and related topics
• Intersection distribution, non-hitting index and Kakeya sets in affine planes
• Any two N × N costas signals must have at least one common ambiguity sidelobe if N > 3—A proof
• A Generalized Bose-Chowla Family of Optical Orthogonal Codes and Distinct Difference Sets
• Optical orthogonal codes: design, analysis and applications
• A Note on the Cross-Correlation of Costas Permutations
• On the Maximal Cross-Correlation of Algebraically Constructed Costas Arrays

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