Work

Infinite families of LCD codes and their weight distributions

Year: 2026

Type: article

Abstract: We construct infinite families of binary or ternary linear complementary dual (LCD) codes, which arise from some families of self-orthogonal codes associated with simplicial complexes or multi-variable functions. We find explicit criteria for self-orthogonal codes to preserve self-orthogonality after augmentation. For the construction of LCD codes, we either directly use some families of self-orthogonal codes or we use the augmented codes of these self-orthogonal code families. As a result, we obtain several infinite families of binary or ternary LCD codes, which include LCD-optimal families and at least LCD-almost optimal families; we also present their weight distributions. We mention that our LCD code families are new compared with the data summarized in [27, Table 5] based on the previously known LCD code families.

Source: Applicable Algebra in Engineering Communication and Computing

DOI: 10.1007/s00200-026-00756-3

Authors: Nilay Kumar Mondal, Yoonjin Lee

Institutions: SRM Institute of Science and Technology, Ewha Womans University

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Ewha Womans University