A new reducibility result for minihypers in finite projective geometries

ЗаглавиеA new reducibility result for minihypers in finite projective geometries
Вид публикацияJournal Article
Година на публикуване2025
АвториLandjev I, Rousseva A, Vorobev K
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том112
Start Page93
Pagination93-103
ISSN1313-9215 (Print) 2603-5529 (Online)
ключови думиGriesmer bound, Linear codes, minihypers, reducibility
Резюме

In this paper, we prove a new reducibility result for minihypers in projective geometries over finite fields. It is further used to characterize the minihypers with parameters $(70,22)$ in $PG(4,3)$. The latter can be used to attack the existence problem for some hypothetical ternary Griesmer codes of dimension 6.

DOI10.60063/GSU.FMI.112.93-103
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