An equivalence based classification of [6, 3, 4] error correcting codes over GF(5). (4th July 2022)

• Record Type: Journal Article
• Authors: Sultana, Sharmin; Akter, Hasina; Dey, Partha Pratim
• Is Part Of: Journal of discrete mathematical sciences & cryptography. Volume 25:Number 5(2022)
• Page Start: 1425
• Page End: 1434
• Publication Date: 2022-07-04
• Subjects: 11T71; Linear code -- Generator matrix -- Equivalent code -- Designs; Computer science -- Mathematics -- Periodicals; Cryptography -- Periodicals; Computer science -- Mathematics; Cryptography; Periodicals; 004.0151
• DOI: 10.1080/09720529.2022.2026625
• Languages: English
• ISSNs: 0972-0529

Abstract

Abstract: We were able to classify all 1-error correcting [5, 3] codes over GF (5) in paper [1] and [5, 2] ternary codes in paper [2]. Now, our focus is an equivalence based classification of error correcting linear codes of length 6 over GF (5). In paper [3], we investigated the equivalence of [6, 3, 4] codes of length 6 and dimension 3 over GF (4). In this paper we classify the [6, 3, 4] codes over GF (5). We explore the weight distribution of these codes as well as their duals.