{"id":"https://openalex.org/W2146774761","doi":"https://doi.org/10.1109/tit.2010.2043763","title":"Automorphisms of Extremal Self-Dual Codes","display_name":"Automorphisms of Extremal Self-Dual Codes","publication_year":2010,"publication_date":"2010-04-26","ids":{"openalex":"https://openalex.org/W2146774761","doi":"https://doi.org/10.1109/tit.2010.2043763","mag":"2146774761"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2010.2043763","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2010.2043763","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-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/A5064348598","display_name":"Stefka Bouyuklieva","orcid":"https://orcid.org/0000-0002-9557-4749"},"institutions":[{"id":"https://openalex.org/I196275078","display_name":"St. Cyril and St. Methodius University of Veliko Tarnovo","ror":"https://ror.org/027n8z047","country_code":"BG","type":"education","lineage":["https://openalex.org/I196275078"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"Stefka Bouyuklieva","raw_affiliation_strings":["Department of Mathematics and Informatics, Veliko Tarnovo University, Veliko Tarnovo, Bulgaria","Dept. of Math. & Inf., Veliko Tarnovo Univ., Veliko Tarnovo, Bulgaria"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Informatics, Veliko Tarnovo University, Veliko Tarnovo, Bulgaria","institution_ids":["https://openalex.org/I196275078"]},{"raw_affiliation_string":"Dept. of Math. & Inf., Veliko Tarnovo Univ., Veliko Tarnovo, Bulgaria","institution_ids":["https://openalex.org/I196275078"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015736429","display_name":"Anton Malevich","orcid":null},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke University Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Anton Malevich","raw_affiliation_strings":["Institut f\u00fcr Algebra und Geometrie, Fakult\u00e4t f\u00fcr Mathematik, Otto von Guericke Universit\u00e4t Magdeburg, Magdeburg, Germany","Inst. fur Algebra und Geometrie, Otto-von-Guericke Univ., Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Algebra und Geometrie, Fakult\u00e4t f\u00fcr Mathematik, Otto von Guericke Universit\u00e4t Magdeburg, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]},{"raw_affiliation_string":"Inst. fur Algebra und Geometrie, Otto-von-Guericke Univ., Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088477636","display_name":"Wolfgang M. Willems","orcid":"https://orcid.org/0000-0001-6729-9383"},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke University Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Wolfgang Willems","raw_affiliation_strings":["Institut f\u00fcr Algebra und Geometrie, Fakult\u00e4t f\u00fcr Mathematik, Otto von Guericke Universit\u00e4t Magdeburg, Magdeburg, Germany","Inst. fur Algebra und Geometrie, Otto-von-Guericke Univ., Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Algebra und Geometrie, Fakult\u00e4t f\u00fcr Mathematik, Otto von Guericke Universit\u00e4t Magdeburg, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]},{"raw_affiliation_string":"Inst. fur Algebra und Geometrie, Otto-von-Guericke Univ., Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064348598"],"corresponding_institution_ids":["https://openalex.org/I196275078"],"apc_list":null,"apc_paid":null,"fwci":3.6084,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.93323997,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"56","issue":"5","first_page":"2091","last_page":"2096"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9919999837875366,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9850000143051147,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.5269373655319214},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42175787687301636},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32793688774108887},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32117074728012085},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2646479606628418}],"concepts":[{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.5269373655319214},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42175787687301636},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32793688774108887},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32117074728012085},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2646479606628418}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2010.2043763","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2010.2043763","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W27315300","https://openalex.org/W598564470","https://openalex.org/W1556443961","https://openalex.org/W1617868970","https://openalex.org/W1963661276","https://openalex.org/W1966360582","https://openalex.org/W1979177096","https://openalex.org/W1989867438","https://openalex.org/W2018939046","https://openalex.org/W2028638311","https://openalex.org/W2028709932","https://openalex.org/W2043874544","https://openalex.org/W2048149400","https://openalex.org/W2060988076","https://openalex.org/W2098225897","https://openalex.org/W2114972298","https://openalex.org/W2116042935","https://openalex.org/W2124107181","https://openalex.org/W2124980282","https://openalex.org/W2130978598","https://openalex.org/W2133424781","https://openalex.org/W2142753998","https://openalex.org/W2168761207","https://openalex.org/W2338279393","https://openalex.org/W2378368070","https://openalex.org/W4296927045","https://openalex.org/W6601077106"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2114124567","https://openalex.org/W2998724919","https://openalex.org/W161787318","https://openalex.org/W1997883919","https://openalex.org/W1968682565","https://openalex.org/W2963982375","https://openalex.org/W2042372008","https://openalex.org/W2376326551","https://openalex.org/W3122198505"],"abstract_inverted_index":{"Let":[0],"<i":[1,12,22,31,55,65,70,74,82,107,111,122],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[2,13,23,32,56,66,71,75,83,108,112,123],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">C</i>":[3],"be":[4],"a":[5],"binary":[6],"extremal":[7,117],"self-dual":[8],"code":[9],"of":[10,28,38,54,105],"length":[11,106],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</i>":[14,72,109,124],"\u00bf":[15,25,34],"48.":[16],"We":[17,95],"prove":[18,97],"that":[19,62,98],"for":[20],"each":[21],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u00bf":[24],"Aut(C</i>":[26],")":[27],"prime":[29],"order":[30],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">p</i>":[33,57,67,76,113],"5":[35],"the":[36,42,46,52,90,120],"number":[37,53],"fixed":[39],"points":[40],"in":[41,81,119],"permutation":[43],"action":[44],"on":[45],"coordinate":[47],"positions":[48],"is":[49],"bounded":[50],"by":[51],"-cycles.":[58],"It":[59],"turns":[60],"out":[61],"large":[63],"primes":[64],",":[68],"i.e.,":[69],"-":[73],"small,":[77],"seem":[78],"to":[79],"occur":[80],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">|Aut(C</i>":[84],")|":[85],"very":[86],"rarely.":[87],"Examples":[88],"are":[89,116],"extended":[91,101],"quadratic":[92,102],"residue":[93,103],"codes.":[94],"further":[96],"doubly":[99],"even":[100],"codes":[104],"=":[110],"+":[114],"1":[115],"only":[118],"cases":[121],"=8,":[125],"24,":[126],"32,":[127],"48,":[128],"80,":[129],"and":[130],"104.":[131]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
