Minimum weight codewords in dual algebraic-geometric codes from the Giulietti-Korchmáros curve

DOI10.1007/s10623-018-0541-yzbMath1410.14022arXiv1802.03359OpenAlexW2963030833MaRDI QIDQ2416942

Matteo Bonini, Daniele Bartoli

Publication date: 24 May 2019

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

Full work available at URL: https://arxiv.org/abs/1802.03359

zbMATH Keywords

algebraic-geometric codesweight distributiondual codesminimum weight codewordsintersections of curvesGiulietti-Korchmaros curve

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Plane and space curves (14H50) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (5)

On the weights of dual codes arising from the GK curve ⋮ AG codes from \(\mathbb{F}_{q^7}\)-rational points of the GK maximal curve ⋮ Minimal codewords in norm-trace codes ⋮ On a generalization of the Deligne-Lusztig curve of Suzuki type and application to AG codes ⋮ Intersections between the norm-trace curve and some low degree curves

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