Work

LCD codes constructed from weakly $ p $ -self-orthogonal 1-designs

Year: 2024

Type: article

Abstract: By a suitable extension of incidence matrices, orbit matrices, and submatrices of orbit matrices of weakly $ p $-self-orthogonal $ 1 $-designs, in this paper we describe a construction of LCD codes over a finite field. To illustrate the construction, we determine some binary LCD codes from self-orthogonal $ 1 $-designs which are invariant under the transitive non-regular action of the alternating group of order $ 60 $. With the described construction, we have obtained $ 6 $ optimal codes and $ 3 $ near-optimal codes.

Source: Advances in Mathematics of Communications

DOI: 10.3934/amc.2024040

Authors: Vedrana Mikulić Crnković, Ivona Traunkar, Bernardo G. Rodrigues

Institutions: University of Rijeka, University of Pretoria

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402989380

FWCI: 0.148

Cites: 22

Cited by: 1

Related to: 10