{"id":"https://openalex.org/W2160685949","doi":"https://doi.org/10.1109/isit.2004.1365565","title":"Matrix characterization of near-MDS codes over Z/sub m/ and abelian groups","display_name":"Matrix characterization of near-MDS codes over Z/sub m/ and abelian groups","publication_year":2004,"publication_date":"2004-12-23","ids":{"openalex":"https://openalex.org/W2160685949","doi":"https://doi.org/10.1109/isit.2004.1365565","mag":"2160685949"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2004.1365565","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365565","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109244430","display_name":"G Viswanath","orcid":null},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"G. Viswanath","raw_affiliation_strings":["Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore, India"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore, India","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015398340","display_name":"B. Sundar Rajan","orcid":"https://orcid.org/0000-0002-7847-0200"},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"B.S. Rajan","raw_affiliation_strings":["Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore, India"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore, India","institution_ids":["https://openalex.org/I59270414"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109244430"],"corresponding_institution_ids":["https://openalex.org/I59270414"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13571049,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"528","last_page":"528"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.6563315987586975},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.6546858549118042},{"id":"https://openalex.org/keywords/group-code","display_name":"Group code","score":0.5386388897895813},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5109569430351257},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5052798390388489},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4677073657512665},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.466054767370224},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41276663541793823},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4127247631549835},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.4045637249946594},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39046698808670044},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3105241060256958},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.2738329768180847},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22867438197135925},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1843661665916443},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.11096730828285217}],"concepts":[{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.6563315987586975},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.6546858549118042},{"id":"https://openalex.org/C3427991","wikidata":"https://www.wikidata.org/wiki/Q651426","display_name":"Group code","level":5,"score":0.5386388897895813},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5109569430351257},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5052798390388489},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4677073657512665},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.466054767370224},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41276663541793823},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4127247631549835},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.4045637249946594},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39046698808670044},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3105241060256958},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.2738329768180847},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22867438197135925},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1843661665916443},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.11096730828285217},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2004.1365565","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365565","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1530125006","https://openalex.org/W1990182059","https://openalex.org/W4247901601"],"related_works":["https://openalex.org/W4245206337","https://openalex.org/W2159680542","https://openalex.org/W2033773955","https://openalex.org/W2385264800","https://openalex.org/W2138739584","https://openalex.org/W1970003336","https://openalex.org/W2750593744","https://openalex.org/W2255054582","https://openalex.org/W2131720250","https://openalex.org/W2157434115"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"present":[4],"a":[5,30],"matrix":[6],"characterization":[7],"of":[8,26],"AMDS":[9,38],"codes":[10,13],"and":[11,17],"NMDS":[12],"over":[14],"Z/sub":[15],"m/":[16],"Abelian":[18],"groups.":[19],"A":[20],"linear":[21,35],"code":[22,39,48],"with":[23],"the":[24],"ring":[25],"integers":[27],"modulo":[28],"is":[29,40,49],"subset":[31],"closed":[32],"under":[33],"all":[34],"combinations.":[36],"An":[37],"said":[41],"to":[42],"be":[43],"near-MDS":[44],"if":[45],"its":[46],"dual":[47],"also":[50],"AMDS.":[51]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
