Tangent codes

Authors

DOI:

https://doi.org/10.60063/gsu.fmi.111.91-114

Keywords:

genus reduction of a tangent code, minimum distance of a tangent code, Zariski tangent space

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.

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Published

2024-12-04

Issue

Vol. 111 (2024): Ann. Sofia Univ. Fac. Math. and Inf.

Section

Articles

How to Cite

Tangent codes. (2024). Annual of Sofia University St. Kliment Ohridski. Faculty of Mathematics and Informatics, 111, 91-114. https://doi.org/10.60063/gsu.fmi.111.91-114