Tangent codes

ЗаглавиеTangent codes
Вид публикацияJournal Article
Година на публикуване2024
АвториKasparian A, Velikova E
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том111
Start Page91
Pagination91-114
ISSN1313-9215 (Print) 2603-5529 (Online)
ключови думиgenus reduction of a tangent code, minimum distance of a tangent code, Zariski tangent space
Резюме

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.

DOI10.60063/GSU.FMI.111.91-114
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