English

The nonexistence of an additive quaternary [15,5,9]-code

Combinatorics 2013-08-12 v1

Abstract

We show that no additive [15,5,9]_4-code exists. As a consequence the largest dimension k such that an additive quaternary [15,k,9]_4-code exists is k=4.5.

Cite

@article{arxiv.1308.2108,
  title  = {The nonexistence of an additive quaternary [15,5,9]-code},
  author = {Daniele Bartoli and Juergen Bierbrauer and Giorgio Faina and Stefano Marcugini and Fernanda Pambianco},
  journal= {arXiv preprint arXiv:1308.2108},
  year   = {2013}
}

Comments

15 pages

R2 v1 2026-06-22T01:06:51.284Z