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http://hdl.handle.net/123456789/2978
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| Title: | A New [1483]-Linear Code From the Aunu Generated [742] -Linear Code and the Known [743] Hamming Code Using the (U|U+V) Construction |
| Authors: | Ibrahim, A.A.
Chun, P.B.
Kamoh, N.M. |
| Keywords: | Cayley tables
AUNU scheme
Standard generator matrix
Extended code
Reduced Row Echelon form (RREF)
[n k d] linear code
Parity check matrix |
| Issue Date: | 2017 |
| Publisher: | Journal of Applied & Computational Mathematics |
| Citation: | Ibrahim AA, Chun PB, Kamoh NM (2017) A New [ 14 8 3 ]-Linear Code From the Aunu Generated [ 7 4 2 ] -Linear Code and the Known [7 4 3 ] Hamming Code Using the (U|U+V) Construction. J Appl Computat Math 7: 379. doi: 10.4172/2168-9679.1000379 |
| Series/Report no.: | Vol.7;Iss.1; Pp 1-3 |
| Abstract: | In this communication, we enumerate the construction 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. Our construction is due to
the Carley table for n=7of the generated points of was permutations of the (132) and (123)-avoiding patterns of the
non-associative AUNU schemes. Next, [ 7 4 2 ] linear code so constructed is combined with the known Hamming [ 7
4 3 ] code using the ( u|u+v)-construction to obtain a new hybrid and more practical single [14 8 3 ] error- correcting
code. |
| URI: | http://hdl.handle.net/123456789/2978 |
| ISSN: | 2168-9679 |
| Appears in Collections: | Computer Science
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