| Title | Tangent codes |
| Publication Type | Journal Article |
| Year of Publication | 2024 |
| Authors | Kasparian A, Velikova E |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 111 |
| Start Page | 91 |
| Pagination | 91-114 |
| ISSN | 1313-9215 (Print) 2603-5529 (Online) |
| 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. |
| DOI | 10.60063/GSU.FMI.111.91-114 |
| Attachment | Size |
|---|---|
 111-091-114.pdf | 592.62 KB |