The nonexistence of some quaternary Grismer codes of dimension 5
The nonexistence of some quaternary Grismer codes of dimension 5
Author(s): Assia Rousseva, Ivan LandjevSubject(s): Social Sciences, Economy, Education, Higher Education , ICT Information and Communications Technologies
Published by: Нов български университет
Keywords: Linear codes; Finite projecive geometries; Arcs; Extendable arcs; The Griesmer bound; Griesmer codes; Griesmer arcs; Minihypers
Summary/Abstract: In this paper we classify the arcs with parameters (100, 26) in PG(3, 4) and solve two instances of the main problem in coding theory for linear codes of dimension 5 over F4.We prove the nonexistence of [395, 5, 295]4- and [396, 5, 296]4-codes which implies the exact values n4(5, 295) = 396 and n4(5, 296) = 397.
Journal: Computer Science and Education in Computer Science
- Issue Year: 15/2019
- Issue No: 1
- Page Range: 53-58
- Page Count: 6
- Language: English