Open AccessTHE AUNU GENERATED [ 7 4 ]-LINEAR CODE AND THE KNOWN [7 4 3 ] HAMMING CODE USING THE (U|U+V)
Publication year - 2020
Publication title -
international journal for innovative engineering and management research
Language(s) - English
Resource type - Journals
ISSN - 2456-5083
DOI - 10.48047/ijiemr/v09/i11/42
Subject(s) - hamming code , constant weight code , code (set theory) , cyclic code , dual code , polynomial code , linear code , hamming bound , systematic code , hamming(7,4) , hamming distance , computer science , prefix code , table (database) , mathematics , algorithm , discrete mathematics , code rate , block code , programming language , decoding methods , set (abstract data type) , data mining
In this communication, we enumerate the construction of a [7 4 2]- linear code which is anextended 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 generatedpoints of was permutations of the (132) and (123)-avoiding patterns of the non-associativeAUNU schemes. Next, [ 7 4 2 ] linear code so constructed is combined with the knownHamming [ 7 4 3 ] code using the ( u|u+v)-construction to obtain a new hybrid and morepractical single [14 8 3 ] error- correcting code.