Tangent codes

Azniv Kasparian; Evgeniya Velikova

doi:10.60063/gsu.fmi.111.91-114

Tangent codes

Authors

Azniv Kasparian https://orcid.org/0000-0002-7881-1773
Evgeniya Velikova https://orcid.org/0000-0002-0527-2481

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.

Downloads

Published

2024-12-04

How to Cite

Kasparian, A., & Velikova, E. (2024). Tangent codes. Ann. Sofia Univ. Fac. Math. And Inf., 111, 91–114. https://doi.org/10.60063/gsu.fmi.111.91-114