| Title | Characterization of some minihypers in PG(4,3) |
| Publication Type | Journal Article |
| Year of Publication | 2022 |
| Authors | Landjev I, Rogachev E, Rousseva A |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 109 |
| Start Page | 91 |
| Pagination | 91-98 |
| ISSN | 1313-9215 (Print) 2603-5529 (Online) |
| Keywords | blocking sets, Griesmer bound, Linear codes |
| Abstract | In this paper we characterize the minihypers with parameters $(66,21)$ in the geometry PG(4,3). These parameters are important because they are instrumental in solving the problem of the existence of several hypothetical ternary Griesmer codes of dimension $6$. This classification gives also insight into the classification problem for $(v_r+2v_{r-1},v_{r-1}+2v_{r-2})$-mimihypers in PG$(r,q)$ for any $r\ge3$ and any prime power $q\ge4$. |
| DOI | 10.60063/GSU.FMI.109.91-98 |
| Attachment | Size |
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 109-091-098.pdf | 558.06 KB |