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Glasnik matematički, Vol. 60 No. 2, 2025.

Original scientific paper

https://doi.org/10.3336/gm.60.2.01

Some constructions of LCD codes over Z_4

Ana Grbac ; Faculty of Mathematics, University of Rijeka, 51000 Rijeka, Croatia
Andrea Švob orcid id orcid.org/0000-0001-6558-5167 ; Faculty of Mathematics, University of Rijeka, 51000 Rijeka, Croatia

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Abstract

In this paper, we consider linear codes with complementary duals over the ring of integers modulo 4. These codes are defined as linear codes that intersect their duals trivially and shortly called LCD codes. We focus on some constructions of LCD codes using the adjacency matrices of two-class association schemes.

Keywords

LCD code, \({\mathbb{Z}}_4\)-code, association scheme, strongly regular graph, doubly regular tournament.

Hrčak ID:

342478

URI

https://hrcak.srce.hr/342478

Publication date:

15.8.2026.

Visits: 348 *

Publication date: 10 June 2025

Volume: Vol 60

Issue: Svezak 2

Pages: 183-196

DOI: 10.3336/gm.60.2.01

Article Information (continued)

Categories:

Subject: Izvorni znanstveni članak

Keywords:

Keyword: LCD code, \({\mathbb{Z}}_4\)-code, association scheme, strongly regular graph, doubly regular tournament.

Some constructions of LCD codes over Z_4

Ana Grbac[1]

Email: abaric@math.uniri.hr

Andrea Švob[2]

Email: asvob@math.uniri.hr

 

[1] Faculty of Mathematics, University of Rijeka, 51000 Rijeka, Croatia

[2] Faculty of Mathematics, University of Rijeka, 51000 Rijeka, Croatia

Abstract

In this paper, we consider linear codes with complementary duals over the ring of integers modulo 4. These codes are defined as linear codes that intersect their duals trivially and shortly called LCD codes. We focus on some constructions of LCD codes using the adjacency matrices of two-class association schemes.

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