{"id":"https://openalex.org/W2037864793","doi":"https://doi.org/10.1109/tit.2008.929966","title":"A Geometric Construction of a $[110,5,90]_{9}$-Linear Code Admitting the Mathieu Group $M_{11}$","display_name":"A Geometric Construction of a $[110,5,90]_{9}$-Linear Code Admitting the Mathieu Group $M_{11}$","publication_year":2008,"publication_date":"2008-10-22","ids":{"openalex":"https://openalex.org/W2037864793","doi":"https://doi.org/10.1109/tit.2008.929966","mag":"2037864793"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2008.929966","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5040125339","display_name":"Antonio Cossidente","orcid":"https://orcid.org/0000-0001-5264-2353"},"institutions":[{"id":"https://openalex.org/I20272500","display_name":"University of Basilicata","ror":"https://ror.org/03tc05689","country_code":"IT","type":"education","lineage":["https://openalex.org/I20272500"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Antonio Cossidente","raw_affiliation_strings":["Dept. of Math. & Comput. Sci., Basilicata Univ., Potenza"],"affiliations":[{"raw_affiliation_string":"Dept. of Math. & Comput. Sci., Basilicata Univ., Potenza","institution_ids":["https://openalex.org/I20272500"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002476514","display_name":"Angelo Sonnino","orcid":"https://orcid.org/0000-0001-9814-9513"},"institutions":[{"id":"https://openalex.org/I20272500","display_name":"University of Basilicata","ror":"https://ror.org/03tc05689","country_code":"IT","type":"education","lineage":["https://openalex.org/I20272500"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Angelo Sonnino","raw_affiliation_strings":["Dept. of Math. & Comput. Sci., Basilicata Univ., Potenza"],"affiliations":[{"raw_affiliation_string":"Dept. of Math. & Comput. Sci., Basilicata Univ., Potenza","institution_ids":["https://openalex.org/I20272500"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":63},"biblio":{"volume":"54","issue":"11","first_page":"5251","last_page":"5252"},"is_retracted":false,"is_paratext":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/T10849","display_name":"Finite Group Theory Research","score":0.9973,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.996,"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/group-code","display_name":"Group code","score":0.57553536},{"id":"https://openalex.org/keywords/dual-code","display_name":"Dual code","score":0.46266794},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.46032372},{"id":"https://openalex.org/keywords/mathieu-function","display_name":"Mathieu function","score":0.419177}],"concepts":[{"id":"https://openalex.org/C3427991","wikidata":"https://www.wikidata.org/wiki/Q651426","display_name":"Group code","level":5,"score":0.57553536},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5687908},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48535004},{"id":"https://openalex.org/C73666251","wikidata":"https://www.wikidata.org/wiki/Q5310189","display_name":"Dual code","level":5,"score":0.46266794},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.46032372},{"id":"https://openalex.org/C157097347","wikidata":"https://www.wikidata.org/wiki/Q1908689","display_name":"Mathieu function","level":2,"score":0.419177},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3929286},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3737448},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.36308038},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2746321},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.2318134},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.1830732},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17728269},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15487188},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.13805532},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2008.929966","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":5,"referenced_works":["https://openalex.org/W2084034274","https://openalex.org/W2100230274","https://openalex.org/W2136968358","https://openalex.org/W2490728539","https://openalex.org/W4255713959"],"related_works":["https://openalex.org/W950311766","https://openalex.org/W4214485061","https://openalex.org/W3155044924","https://openalex.org/W3042543385","https://openalex.org/W2891567330","https://openalex.org/W2755707967","https://openalex.org/W2105333058","https://openalex.org/W1978124453","https://openalex.org/W1619836270","https://openalex.org/W1524903565"],"abstract_inverted_index":{"":[2],"We":[3],"give":[4],"a":[5,9,22],"geometric":[6],"construction":[7],"of":[8,24],"":[11],"$[110,5,90]_{9}$-linear":[12],"code":[13],"admitting":[14],"the":[15],"Mathieu":[16],"group":[17],"formulatype=\"inline\">$M_{11}$":[19],"":[20],"as":[21],"subgroup":[23],"its":[25],"automorphism":[26],"group.":[27],"":[28]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2037864793","counts_by_year":[],"updated_date":"2024-12-08T17:47:14.998489","created_date":"2016-06-24"}