On |a+x|b+x|a+b+x| Construction of Extended Binary Golay Codes

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Year:
2015
Type of Publication:
Article
Keywords:
Extended Binary Golay Code, Linear Block Codes LBC, Self Dual Codes, 2 And 2 Codewords, Generator Matrices
Authors:
Nidhi Nijhawan; Vikas Dhaka; Jatin Anand
Journal:
IJISM
Volume:
3
Number:
2
Pages:
79-84
Month:
March
ISSN:
2347-9051
Abstract:
This paper presents the construction for such suitable (8, 4, 4) codes which together with the given systematic (8, 4, 4) linear block code (l.b.c.) generate (24, 12, 8) binary Golay code employing |a+x|b+x|a+b+x| construc-tion. We uncover that there do exist some (8, 4, 4) codes which although devised from the construction provided in [6] but fail to generate Golay code. The modification of previously existing construction is proposed
Full text: IJISM-348_final.pdf

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