English

Additive quaternary codes related to exceptional linear quaternary codes

Combinatorics 2018-04-10 v1

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.

Keywords

Cite

@article{arxiv.1804.02468,
  title  = {Additive quaternary codes related to exceptional linear quaternary codes},
  author = {Juergen Bierbrauer and Stefano Marcugini and Fernanda Pambianco},
  journal= {arXiv preprint arXiv:1804.02468},
  year   = {2018}
}

Comments

13 pages

R2 v1 2026-06-23T01:16:41.886Z