An investigation of [5, 3] error correcting codes over GF(5). Issue 3 (3rd April 2018)

• Record Type: Journal Article
• Authors: Ghose, Apu Kumar; Dey, Partha Pratim
• Is Part Of: Journal of information & optimization sciences. Volume 39:Issue 3(2018)
• Page Start: 695
• Page End: 703
• Publication Date: 2018-04-03
• Subjects: 11T71; Generator matrix -- Equivalent code -- Minimum weight; Electronic data processing -- Periodicals; Information science -- Periodicals; Mathematical optimization -- Periodicals; 519.6
• DOI: 10.1080/02522667.2017.1400744
• Languages: English
• ISSNs: 0252-2667

Abstract

Abstract: In papers [1, 2], we were able to classify all 1-error correcting [5, 3] and [5, 2] codes over GF (4). In this paper, we investigate the existence and equivalence of [5, 3] error correcting codes over GF (5). It appears that these codes are all mutually equivalent. We also calculate their weight distribution as well as the weight distribution of their orthogonal codes.