{"id":"https://openalex.org/W1981218164","doi":"https://doi.org/10.1109/cig.2010.5592836","title":"Information sets for abelian codes","display_name":"Information sets for abelian codes","publication_year":2010,"publication_date":"2010-08-01","ids":{"openalex":"https://openalex.org/W1981218164","doi":"https://doi.org/10.1109/cig.2010.5592836","mag":"1981218164"},"language":"en","primary_location":{"id":"doi:10.1109/cig.2010.5592836","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cig.2010.5592836","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Information Theory Workshop","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/A5042236113","display_name":"Jos\u00e9 Joaqu\u00edn Bernal","orcid":"https://orcid.org/0000-0002-4284-3087"},"institutions":[{"id":"https://openalex.org/I80180929","display_name":"Universidad de Murcia","ror":"https://ror.org/03p3aeb86","country_code":"ES","type":"education","lineage":["https://openalex.org/I80180929"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jose Joaquin Bernal","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidad de Murcia, Murcia, Spain","Departamento de Matem\u00e1ticas, Universidad de Murcia, 30100-Murcia, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad de Murcia, Murcia, Spain","institution_ids":["https://openalex.org/I80180929"]},{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad de Murcia, 30100-Murcia, Spain","institution_ids":["https://openalex.org/I80180929"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072803503","display_name":"Juan Jacobo Sim\u00f3n","orcid":"https://orcid.org/0000-0001-6362-189X"},"institutions":[{"id":"https://openalex.org/I80180929","display_name":"Universidad de Murcia","ror":"https://ror.org/03p3aeb86","country_code":"ES","type":"education","lineage":["https://openalex.org/I80180929"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Juan Jacobo Simon","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidad de Murcia, Murcia, Spain","Departamento de Matem\u00e1ticas, Universidad de Murcia, 30100-Murcia, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad de Murcia, Murcia, Spain","institution_ids":["https://openalex.org/I80180929"]},{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad de Murcia, 30100-Murcia, Spain","institution_ids":["https://openalex.org/I80180929"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5042236113"],"corresponding_institution_ids":["https://openalex.org/I80180929"],"apc_list":null,"apc_paid":null,"fwci":0.4524,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.7124018,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"1","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9993000030517578,"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":0.9993000030517578,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9883000254631042,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.9866999983787537,"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/coset","display_name":"Coset","score":0.8322103023529053},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.7160336375236511},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6631118059158325},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.6273795366287231},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5896526575088501},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5807574987411499},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.5794840455055237},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5748469829559326},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5360169410705566},{"id":"https://openalex.org/keywords/binary-code","display_name":"Binary code","score":0.47855550050735474},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46683230996131897},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4583562910556793},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.45467811822891235},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4468761086463928},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.43420636653900146},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.4111191928386688},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3718964159488678},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2946593761444092},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20761793851852417},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1544640064239502},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06443682312965393},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.06343168020248413}],"concepts":[{"id":"https://openalex.org/C85307737","wikidata":"https://www.wikidata.org/wiki/Q751969","display_name":"Coset","level":2,"score":0.8322103023529053},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.7160336375236511},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6631118059158325},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.6273795366287231},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5896526575088501},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5807574987411499},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.5794840455055237},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5748469829559326},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5360169410705566},{"id":"https://openalex.org/C63435697","wikidata":"https://www.wikidata.org/wiki/Q864135","display_name":"Binary code","level":3,"score":0.47855550050735474},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46683230996131897},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4583562910556793},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.45467811822891235},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4468761086463928},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.43420636653900146},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.4111191928386688},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3718964159488678},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2946593761444092},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20761793851852417},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1544640064239502},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06443682312965393},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.06343168020248413},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cig.2010.5592836","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cig.2010.5592836","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Information Theory Workshop","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":11,"referenced_works":["https://openalex.org/W1556443961","https://openalex.org/W1984482062","https://openalex.org/W2022676089","https://openalex.org/W2031230255","https://openalex.org/W2039466900","https://openalex.org/W2054248836","https://openalex.org/W2084876043","https://openalex.org/W2095808463","https://openalex.org/W2162478468","https://openalex.org/W4234426551","https://openalex.org/W4238858352"],"related_works":["https://openalex.org/W2166919563","https://openalex.org/W1968396483","https://openalex.org/W2037763716","https://openalex.org/W4297536019","https://openalex.org/W2362406576","https://openalex.org/W2100149990","https://openalex.org/W1434730035","https://openalex.org/W2950636389","https://openalex.org/W2134931385","https://openalex.org/W1533984353"],"abstract_inverted_index":{"The":[0],"paper":[1],"present":[2],"a":[3,96,103,121],"method":[4,39],"based":[5],"on":[6,16,88],"the":[7,10,20,29,32,36,45,50,67,70,89,93,105],"computation":[8],"of":[9,12,19,31,35,47,52,95,107],"cardinalities":[11],"certain":[13],"cyclotomic":[14],"cosets":[15,24],"different":[17],"extensions":[18],"ground":[21],"field.":[22],"Such":[23],"are":[25],"completely":[26],"determined":[27],"by":[28],"structure":[30],"defining":[33],"set":[34],"code.":[37],"This":[38,58],"agrees":[40],"with":[41,74],"that":[42,84],"given":[43],"in":[44,49,78,92,117],"works":[46],"Imai":[48],"case":[51,94],"two":[53],"dimensional":[54],"binary":[55],"(TDC)":[56],"codes.":[57],"technique":[59],"allows":[60,100],"us":[61],"to":[62,80,101,119],"take":[63],"some":[64],"advantages.":[65],"On":[66],"one":[68],"hand,":[69,91],"codes":[71],"were":[72],"constructed":[73],"prescribed":[75],"information":[76,109],"sets":[77],"order":[79,118],"get":[81],"particular":[82],"properties":[83],"we":[85],"may":[86,112],"need;":[87],"other":[90],"fixed":[97],"code,":[98],"it":[99],"determine,":[102],"priori,":[104],"shape":[106],"our":[108],"set.":[110],"It":[111],"be":[113],"crucial,":[114],"for":[115],"example,":[116],"make":[120],"permutation":[122],"decoding.":[123]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}