A new concatenated type construction for LCD codes and isometry codes

CARLET C., Guneri C., ÖZBUDAK F., SOLÉ P.

DISCRETE MATHEMATICS, vol.341, no.3, pp.830-835, 2018 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 341 Issue: 3
  • Publication Date: 2018
  • Doi Number: 10.1016/j.disc.2017.12.004
  • Journal Name: DISCRETE MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.830-835
  • Keywords: LCD code, Concatenation, Isometry code
  • Middle East Technical University Affiliated: Yes

Abstract

We give a new concatenated type construction for linear codes with complementary dual (LCD) over small finite fields. In this construction, we need a special class of inner codes that we call isometry codes. Our construction generalizes a recent construction of Carlet et al. (2014-2016) and of Gtineri et al. (2016). In particular, it allows us to construct LCD codes with improved parameters directly. (C) 2017 Elsevier B.V. All rights reserved.