Some new binary codes with improved minimum distances

Eric Zhi Chen

doi:https://doi.org/10.13069/jacodesmath.00000

Some new binary codes with improved minimum distances

Eric Zhi Chen

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Sammanfattning

It has been well-known that the class of quasi-cyclic (QC) codes contain many good codes. In thispaper, a method to conduct a computer search for binary 2-generator QC codes is presented, anda large number of good 2-generator QC codes have been obtained. 5 new binary QC codes thatimprove the lower bounds on minimum distance are presented. Furthermore, with new 2-generatorQC codes and Construction X, 2 new improved binary linear codes are obtained. With the standardconstruction techniques, another 16 new binary linear codes that improve the lower bound on theminimum distance have also been obtained.

Originalspråk	Engelska
Sidor (från-till)	65-70
Antal sidor	5
Tidskrift	Journal of Algebra Combinatorics Discrete Structures and Applications
Volym	5
Utgåva	2
DOI	https://doi.org/10.13069/jacodesmath.00000
Status	Publicerad - 2018

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Elektroteknik och elektronik (202)

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https://doi.org/10.13069/jacodesmath.00000

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abstract = "It has been well-known that the class of quasi-cyclic (QC) codes contain many good codes. In thispaper, a method to conduct a computer search for binary 2-generator QC codes is presented, anda large number of good 2-generator QC codes have been obtained. 5 new binary QC codes thatimprove the lower bounds on minimum distance are presented. Furthermore, with new 2-generatorQC codes and Construction X, 2 new improved binary linear codes are obtained. With the standardconstruction techniques, another 16 new binary linear codes that improve the lower bound on theminimum distance have also been obtained.",

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KW - Binary linear codes

KW - Quasi-cyclic codes

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Some new binary codes with improved minimum distances

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