Tangent codes

The present article studies the finite Zariski tangent spaces to an affine variety $X$ as linear codes, in order to characterize their typical or exceptional properties by global geometric conditions on $X$. We provide procedures for optimizing one of the parameters length, dimension or minimum distance of a single code by families of tangent codes.

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Publication Details

Journal
Annual of Sofia University St Kliment Ohridski Faculty of Mathematics and Informatics
Published
2024-12-04
DOI
https://doi.org/10.60063/gsu.fmi.111.91-114
Primary Topic
Coding theory and cryptography
Type
article
Field-Weighted Citation Impact
0.00
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article

Tangent codes

Evgeniya Velikova, Азнив Каспарян
Annual of Sofia University St Kliment Ohridski Faculty of Mathematics and Informatics
Coding theory and cryptography
article

Tangent codes

Evgeniya Velikova, Азнив Каспарян
article en

Abstract

The present article studies the finite Zariski tangent spaces to an affine variety $X$ as linear codes, in order to characterize their typical or exceptional properties by global geometric conditions on $X$. We provide procedures for optimizing one of the parameters length, dimension or minimum distance of a single code by families of tangent codes.

Annual of Sofia University St Kliment Ohridski Faculty of Mathematics and InformaticsVol. 111
Sofia University "St. Kliment Ohridski" (BG)
Reduced inequalities
Openalex Percentile: Top 80%
Coding theory and cryptography
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Tangent codes — Evgeniya Velikova, Азнив Каспарян · Annual of Sofia University St Kliment Ohridski Faculty of Mathematics and Informatics (2024) | TGRS Research Map | TGRS