Refined Convergents to the Associated Continued Fractions for Binary Sequences

在线阅读 下载PDF 导出详情
摘要 <正>TherelationbetweencontinuedfractionsandBerlekamp’salgorithmwasstudiedbysomereseachers.ThelatterisaniterativeprocedureproposedfordecodingBCHcodes.However,thereremainsanunansweredquestionwhethereachoftheiterativestepsinthealgorithmcanbeinterpretedintermsofcontinuedfractions.Inthispaper,wefirstintroducetheso-calledrefinedconvergentstothecontinuedfractionexpansionofabinarysequences,andthengiveathoroughanswertothequestioninthecontextofMassey’slinearfeedbackshiftregistersynthesisalgorithmwhichisequivalenttothatofBerlekamp,andatlastweprovethatthereexistsaone-to-onecorrespondencebetweenthen-threfinedconvergentsandthelengthnsegments.
作者
机构地区 不详
出处 《数学学报:英文版》 1994年2期
关键词
出版日期 1994年02月12日(中国期刊网平台首次上网日期,不代表论文的发表时间)