General Letters in Mathematics

Volume 4 - Issue 3 (4) | PP: 114 - 119 Language : English
DOI : https://doi.org/10.31559/glm2018.4.3.4
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A [49 16 6 ]-Linear Code as Product Of The [7 4 2 ] Code Due to Aunu and the Hamming [7 4 3 ] Code

CHUN, Pamson Bentse ,
IBRAHIM Alhaji Aminu ,
MAGAMI, Mohe'd Sani
Received Date Revised Date Accepted Date Publication Date
2/8/2018 3/9/2018 12/9/2018 5/1/2019
Abstract
The enumeration of the construction due to "Audu and Aminu"(AUNU) Permutation patterns, of a [ 7 4 2 ]- linear code which is an extended code of the [ 6 4 1 ] code and is in one-one correspondence with the known [ 7 4 3 ] - Hamming code has been reported by the Authors. The [ 7 4 2 ] linear code, so constructed was combined with the known Hamming [ 7 4 3 ] code using the ( u|u+v)-construction method to obtain a new hybrid and more practical single [14 8 3 ] error- correcting code. In this paper, we provide an improvement by obtaining a much more practical and applicable double error correcting code whose extended version is a triple error correcting code, by combining the same codes as in [1]. Our goal is achieved through using the product code construction approach with the aid of some proven theorems.


How To Cite This Article
Bentse , C. P.Aminu , I. A. & Sani , M. M. (2019). A [49 16 6 ]-Linear Code as Product Of The [7 4 2 ] Code Due to Aunu and the Hamming [7 4 3 ] Code . General Letters in Mathematics, 4 (3), 114-119, 10.31559/glm2018.4.3.4

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