| Заглавие | On the structure of some arcs related to caps and the nonexistence of some optimal codes |
| Вид публикация | Journal Article |
| Година на публикуване | 2019 |
| Автори | Rousseva A |
| Списание | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Том | 106 |
| Start Page | 11 |
| Pagination | 11-24 |
| ISSN | 1313-9215 (Print) 2603-5529 (Online) |
| ключови думи | nite projecive geometries, arcs, extendable arcs, Griesmer arcs, Griesmer codes, Linear codes, the griesmer bound |
| Резюме | In this paper we solve two instances of the main problem in coding theory for linear codes of dimension 5 over $\mathbb{F}_4$. We prove the nonexistence of $[395,5,295]_4$- and $[396,5,296]_4$-codes which implies the exact values $n_4(5,295)=396$ and $n_4(5,296)=397$. As a by-product, we characterize the arcs with parameters $(100,26)$ in $PG(3,4)$. |
| DOI | 10.60063/GSU.FMI.106.11-24 |
| 2010 MSC | Primary: 51A20, 51A21, 94B65; Secondary: 51A22 |
| Прикачен файл | Размер |
|---|---|
 106-011-024.pdf | 356.59 KB |