An alternative proof of a result on the weight divisibility of a cyclic code using supersingular curves

DOI10.1016/j.ffa.2011.09.009zbMath1248.94118OpenAlexW2008141618MaRDI QIDQ765812

Gary McGuire

Publication date: 22 March 2012

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2011.09.009

zbMATH Keywords

cyclic codedivisibilitysupersingular curve

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Special algebraic curves and curves of low genus (14H45) Cyclic codes (94B15)

Related Items (5)

Further results on the number of rational points of hyperelliptic supersingular curves in characteristic 2 ⋮ Exact 2-divisibility of exponential sums associated to Boolean functions ⋮ A non-cyclic triple-error-correcting BCH-like code and some minimum distance results ⋮ The weight distributions of a class of cyclic codes ⋮ Supersingular curves over finite fields and weight divisibility of codes

Cites Work

• A triple-error-correcting cyclic code from the Gold and Kasami-Welch APN power functions
• On the structure of the divisor class group of a class of curves over finite fields
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