{"id":"https://openalex.org/W2991134396","doi":"https://doi.org/10.3934/amc.2020032","title":"Self-orthogonal codes from orbit matrices of Seidel and Laplacian matrices of strongly regular graphs","display_name":"Self-orthogonal codes from orbit matrices of Seidel and Laplacian matrices of strongly regular graphs","publication_year":2019,"publication_date":"2019-11-25","ids":{"openalex":"https://openalex.org/W2991134396","doi":"https://doi.org/10.3934/amc.2020032","mag":"2991134396"},"language":"en","primary_location":{"id":"doi:10.3934/amc.2020032","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2020032","pdf_url":null,"source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.3934/amc.2020032","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023779796","display_name":"Dean Crnkovi\u0107","orcid":"https://orcid.org/0000-0002-3299-7859"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dean Crnkovi\u0107","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091026595","display_name":"Ronan Egan","orcid":"https://orcid.org/0000-0001-6010-116X"},"institutions":[{"id":"https://openalex.org/I188760350","display_name":"Ollscoil na Gaillimhe \u2013 University of Galway","ror":"https://ror.org/03bea9k73","country_code":"IE","type":"education","lineage":["https://openalex.org/I188760350"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Ronan Egan","raw_affiliation_strings":["De Br\u00fan Centre for Mathematics, School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"De Br\u00fan Centre for Mathematics, School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway","institution_ids":["https://openalex.org/I188760350"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018893998","display_name":"Andrea \u0160vob","orcid":"https://orcid.org/0000-0001-6558-5167"},"institutions":[{"id":"https://openalex.org/I154347574","display_name":"University of Rijeka","ror":"https://ror.org/05r8dqr10","country_code":"HR","type":"education","lineage":["https://openalex.org/I154347574"]}],"countries":["HR"],"is_corresponding":true,"raw_author_name":"Andrea \u0160vob","raw_affiliation_strings":["Department of Mathematics, University of Rijeka, Croatia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Rijeka, Croatia","institution_ids":["https://openalex.org/I154347574"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018893998"],"corresponding_institution_ids":["https://openalex.org/I154347574"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.15825743,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"14","issue":"4","first_page":"591","last_page":"602"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9991999864578247,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9962000250816345,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8617420196533203},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5822013020515442},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5759600400924683},{"id":"https://openalex.org/keywords/orbit","display_name":"Orbit (dynamics)","score":0.5464495420455933},{"id":"https://openalex.org/keywords/prime-power","display_name":"Prime power","score":0.49147093296051025},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.398873507976532}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8617420196533203},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5822013020515442},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5759600400924683},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.5464495420455933},{"id":"https://openalex.org/C174072685","wikidata":"https://www.wikidata.org/wiki/Q1667469","display_name":"Prime power","level":3,"score":0.49147093296051025},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.398873507976532},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/amc.2020032","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2020032","pdf_url":null,"source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3934/amc.2020032","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2020032","pdf_url":null,"source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1535329300","https://openalex.org/W1559343931","https://openalex.org/W1922605123","https://openalex.org/W1976677460","https://openalex.org/W2021425759","https://openalex.org/W2064645351","https://openalex.org/W2070442620","https://openalex.org/W2084975047","https://openalex.org/W2104550457","https://openalex.org/W2153988305","https://openalex.org/W2510934807","https://openalex.org/W2566000337","https://openalex.org/W2593771528","https://openalex.org/W2732873618","https://openalex.org/W2793065883","https://openalex.org/W2963697837","https://openalex.org/W4206775542","https://openalex.org/W4298236575"],"related_works":["https://openalex.org/W2543275399","https://openalex.org/W4380141713","https://openalex.org/W2972938938","https://openalex.org/W1969615181","https://openalex.org/W1998402533","https://openalex.org/W2069443110","https://openalex.org/W2292792029","https://openalex.org/W2906087918","https://openalex.org/W1041977548","https://openalex.org/W2748002572"],"abstract_inverted_index":{"<p":[0],"style='text-indent:20px;'>In":[1],"this":[2],"paper":[3],"we":[4,73,92],"introduce":[5],"the":[6,105],"notion":[7],"of":[8,11,20,79,86,99,104],"orbit":[9,40,77,97],"matrices":[10,13,19,41,78,85,98,103],"integer":[12],"such":[14],"as":[15],"Seidel":[16,100],"and":[17,61,82,101,107],"Laplacian":[18,81,84,102],"some":[21],"strongly":[22,87],"regular":[23,88],"graphs":[24],"with":[25],"respect":[26],"to":[27],"their":[28],"permutation":[29],"automorphism":[30],"groups.":[31],"We":[32],"further":[33],"show":[34],"that":[35],"under":[36],"certain":[37],"conditions":[38],"these":[39],"yield":[42],"self-orthogonal":[43,94],"codes":[44,75,95],"over":[45,62],"finite":[46,63],"fields":[47],"<inline-formula><tex-math":[48,53,65],"id=\"M1\">\\begin{document}$":[49],"\\mathbb{F}_q":[50],"$\\end{document}</tex-math></inline-formula>,":[51],"where":[52],"id=\"M2\">\\begin{document}$":[54],"q":[55],"$\\end{document}</tex-math></inline-formula>":[56],"is":[57],"a":[58,70],"prime":[59],"power":[60],"rings":[64],"id=\"M3\">\\begin{document}$":[66],"\\mathbb{Z}_m":[67],"$\\end{document}</tex-math></inline-formula>.":[68],"As":[69],"case":[71],"study,":[72],"construct":[74,93],"from":[76,96],"Seidel,":[80],"signless":[83],"graphs.":[89,109],"In":[90],"particular,":[91],"Higman-Sims":[106],"McLaughlin":[108]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}