Additive quaternary codes related to exceptional linear quaternary codes
Juergen Bierbrauer, Stefano Marcugini, Fernanda Pambianco
TL;DR
This paper investigates additive quaternary codes near the parameters of notable linear codes, characterizes their properties, and constructs new codes with superior parameters compared to existing linear quaternary codes.
Contribution
It provides a characterization of additive quaternary codes close to certain known linear codes and introduces new additive codes with improved parameters.
Findings
Characterization of additive quaternary codes near specific linear codes
Construction of additive codes with better parameters than existing linear codes
Insights into the relationship between additive and linear quaternary codes
Abstract
We study additive quaternary codes whose parameters are close to those of the extended cyclic [12; 6; 6]4-code or to the quaternary linear codes generated by the elliptic quadric in PG(3; 4) or its dual. In particular we characterize those codes in the category of additive codes and construct some additive codes whose parameters are better than those of any linear quaternary code.
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