A new reducibility result for minihypers in finite projective geometries

Authors

DOI:

https://doi.org/10.60063/gsu.fmi.112.93-103

Keywords:

linear codes, minihypers, reducibility, Griesmer bound 1. Introduction

Abstract

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.

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Published

2025-12-05

Issue

Vol. 112 (2025): Ann. Sofia Univ. Fac. Math. and Inf.

Section

Articles

How to Cite

A new reducibility result for minihypers in finite projective geometries. (2025). Annual of Sofia University St. Kliment Ohridski. Faculty of Mathematics and Informatics, 112, 93-103. https://doi.org/10.60063/gsu.fmi.112.93-103