A new concatenated type construction for LCD codes and isometry codes

Carlet, Claude and Güneri, Cem and Özbudak, Ferruh and Sole, Patrick (2018) A new concatenated type construction for LCD codes and isometry codes. Discrete Mathematics, 341 (3). pp. 830-835. ISSN 0012-365X (Print) 1872-681X (Online)

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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 Güneri et al. (2016). In particular, it allows us to construct LCD codes with improved parameters directly.
Item Type: Article
Uncontrolled Keywords: LCD code; Concatenation; Isometry code
Subjects: Q Science > QA Mathematics > QA150-272.5 Algebra
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: Cem Güneri
Date Deposited: 13 Aug 2018 09:08
Last Modified: 26 Apr 2022 09:56
URI: https://research.sabanciuniv.edu/id/eprint/35334

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