Characterization of some minihypers in PG(4,3)

Authors

DOI:

https://doi.org/10.60063/gsu.fmi.109.91-98

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 (vr+2vr1,vr1+2vr2)-mimihypers in PG(r,q) for any r3 and any prime power q4.

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Published

2022-12-12

How to Cite

Landjev, I., Rogachev, E., & Rousseva, A. (2022). Characterization of some minihypers in PG(4,3). Ann. Sofia Univ. Fac. Math. And Inf., 109, 91–98. https://doi.org/10.60063/gsu.fmi.109.91-98