Walsh transforms of trace forms with three or more terms and some maximal Artin-Schreier curves

DOI10.7169/facm/1909zbMath1483.11127OpenAlexW3125295336MaRDI QIDQ2075015

Sankhadip Roy

Publication date: 11 February 2022

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7169/facm/1909

zbMATH Keywords

finite fieldsquadratic formsArtin-Schreier curvesKasami-Welch functions

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Curves over finite and local fields (11G20) Finite fields (field-theoretic aspects) (12E20)

Cites Work

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• Quadratic functions and maximal Artin-Schreier curves
• More on quadratic functions and maximal Artin-Schreier curves
• Gold and Kasami-Welch functions, quadratic forms, and bent functions
• Algebraic function fields and codes
• Generalization of some results on Gold and Kasami-Welch functions
• Invariants of trace forms over finite fields of characteristic 2
• Cross-correlations of geometric sequences in characteristic two
• Highly degenerate quadratic forms over finite fields of characteristic 2
• Fibre products of Artin-Schreier curves and generalized Hamming weights of codes
• Maximal recursive sequences with 3-valued recursive cross-correlation functions (Corresp.)

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