QUATERNARY DELSARTE—GOETHALS AND GOETHALS—DELSARTE CODES

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摘要 Inthispaper,thequaternaryDelsarte-GoethalscodeDG(m,δ)anditsdualcodeGD(m,δ)arediscussed.ThetypeandthetracerepresentationaregivenforDG\(m,δ),whilethetypeandtheminimumLeeweightaredeterminedforGD(m,δ),TheshortenedcodesofDG(m,δ)andGD(m,δ),areprovedtobeZZ4-cyclic.ThebinaryimageofDG(m,δ)isprovedtobethebinaryDelsarte-GoethalscodeDG((m+1,δ),andtheessentialdifferencebetweenthebinaryimageofGD(m,δ)andthebinaryGoethals-DelsartecodeGD((m+1,δ)isexhibited.Finally,thedecodingalgorithmsofDG(m,δ)andGD(m,δ)arediscussed.
机构地区 不详
出版日期 2002年01月11日(中国期刊网平台首次上网日期,不代表论文的发表时间)
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