{"title":"On additive GF(4) codes","authors":"P. Gaborit, W. C. Huffman, Jon-Lark Kim, V. Pless","doi":"10.1090/dimacs/056/12","DOIUrl":"https://doi.org/10.1090/dimacs/056/12","url":null,"abstract":"","PeriodicalId":289495,"journal":{"name":"Codes and Association Schemes","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2001-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127210522","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Some algebra related to P- and Q-polynomial association schemes","authors":"Tatsuro Ito, K. Tanabe, Paul M. Terwilliger","doi":"10.1090/dimacs/056/14","DOIUrl":"https://doi.org/10.1090/dimacs/056/14","url":null,"abstract":"Let $K$ denote a field, and let $V$ denote a vector space over $K$ with finite positive dimension. Consider a pair of linear transformations $A:Vto V$ and $A^*:Vto V$ that satisfy both conditions below: \u0000(i) There exists a basis for $V$ with respect to which the matrix representing $A$ is diagonal, and the matrix representing $A^*$ is irreducible tridiagonal. \u0000(ii) There exists a basis for $V$ with respect to which the matrix representing $A^*$ is diagonal, and the matrix representing $A$ is irreducible tridiagonal. \u0000Such a pair is called a Leonard pair on $V$. In this paper we introduce a mild generalization of a Leonard pair called a tridiagonal pair. A Leonard pair is the same thing as a tridiagonal pair such that for each transformation all eigenspaces have dimension one.","PeriodicalId":289495,"journal":{"name":"Codes and Association Schemes","volume":"197 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2001-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121787107","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Codes over Zpn and association schemes","authors":"P. Camion","doi":"10.1090/dimacs/056/05","DOIUrl":"https://doi.org/10.1090/dimacs/056/05","url":null,"abstract":"","PeriodicalId":289495,"journal":{"name":"Codes and Association Schemes","volume":"106 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2001-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117218436","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Indexes of spherical codes","authors":"P. Boyvalenkov, D. Danev, P. Kazakov","doi":"10.1090/dimacs/056/04","DOIUrl":"https://doi.org/10.1090/dimacs/056/04","url":null,"abstract":"","PeriodicalId":289495,"journal":{"name":"Codes and Association Schemes","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114764595","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Weakly biased arrays, almost independent arrays and error-correcting codes","authors":"J. Bierbrauer, H. Schellwat","doi":"10.1090/dimacs/056/03","DOIUrl":"https://doi.org/10.1090/dimacs/056/03","url":null,"abstract":"","PeriodicalId":289495,"journal":{"name":"Codes and Association Schemes","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130468176","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Riemann hypothesis analogue for self-dual codes","authors":"I. Duursma","doi":"10.1090/dimacs/056/09","DOIUrl":"https://doi.org/10.1090/dimacs/056/09","url":null,"abstract":"","PeriodicalId":289495,"journal":{"name":"Codes and Association Schemes","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128674497","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Survey of binary Krawtchouk polynomials","authors":"I. Krasikov, S. Litsyn","doi":"10.1090/dimacs/056/16","DOIUrl":"https://doi.org/10.1090/dimacs/056/16","url":null,"abstract":"","PeriodicalId":289495,"journal":{"name":"Codes and Association Schemes","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123490190","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On perfect constant weight codes","authors":"T. Etzion, J. H. Lint","doi":"10.1090/dimacs/056/11","DOIUrl":"https://doi.org/10.1090/dimacs/056/11","url":null,"abstract":"","PeriodicalId":289495,"journal":{"name":"Codes and Association Schemes","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121994713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On perfect codes in the Johnson scheme","authors":"T. Etzion","doi":"10.1090/dimacs/056/10","DOIUrl":"https://doi.org/10.1090/dimacs/056/10","url":null,"abstract":"","PeriodicalId":289495,"journal":{"name":"Codes and Association Schemes","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122782172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On identifying codes","authors":"G. Cohen, I. Honkala, A. Lobstein, G. Zémor","doi":"10.1090/dimacs/056/07","DOIUrl":"https://doi.org/10.1090/dimacs/056/07","url":null,"abstract":"","PeriodicalId":289495,"journal":{"name":"Codes and Association Schemes","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134219129","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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