On Cosets Weight Distribution of Doubly-Extended Reed-Solomon Codes of Codimension 4

DOI10.1109/TIT.2021.3089129zbMath1486.94161arXiv2007.08798MaRDI QIDQ4958209

Alexander A. Davydov, Fernanda Pambianco, Stefano Marcugini

Publication date: 7 September 2021

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.08798

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27)

Related Items (7)

Twisted cubic and plane-line incidence matrix in \(\mathrm{PG}(3,q)\) ⋮ Orbits of lines for a twisted cubic in \(\mathrm{PG}(3, q)\) ⋮ Orbits of the class \(\mathcal{O}_6\) of lines external to the twisted cubic in \(\mathrm{PG}(3, q)\) ⋮ On the geometry of a \((q+1)\)-arc of \(\mathrm{PG}(3,q)\), \(q\) even ⋮ Incidence matrices for the class \({\mathcal{O}}_6\) of lines external to the twisted cubic in \(\mathrm{PG}(3,q)\) ⋮ On the weight distribution of the cosets of MDS codes ⋮ Twisted cubic and point-line incidence matrix in \(\operatorname{PG}(3,q)\)

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