Further results on the number of rational points of hyperelliptic supersingular curves in characteristic 2

DOI10.1007/s10623-015-0102-6zbMath1332.14039OpenAlexW759683269MaRDI QIDQ887446

Gary McGuire, Emrah Sercan Yilmaz

Publication date: 26 October 2015

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-015-0102-6

zbMATH Keywords

finite fieldcurvegenussupersingular

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45)

Cites Work

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• A triple-error-correcting cyclic code from the Gold and Kasami-Welch APN power functions
• The number of rational points on hyperelliptic supersingular curves of genus 4 in characteristic 2
• An alternative proof of a result on the weight divisibility of a cyclic code using supersingular curves
• Families of supersingular curves in characteristic 2.
• Abelian varieties over finite fields

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