{"id":"https://openalex.org/W4229509428","doi":"https://doi.org/10.1007/s10623-004-4033-x","title":"Check Character Systems Using Quasigroups: II","display_name":"Check Character Systems Using Quasigroups: II","publication_year":2005,"publication_date":"2005-10-20","ids":{"openalex":"https://openalex.org/W4229509428","doi":"https://doi.org/10.1007/s10623-004-4033-x"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-004-4033-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-004-4033-x","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","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/A5018142775","display_name":"G. B. Belyavskaya","orcid":null},"institutions":[{"id":"https://openalex.org/I112090838","display_name":"Academy of Sciences of Moldova","ror":"https://ror.org/01w01n720","country_code":"MD","type":"government","lineage":["https://openalex.org/I112090838"]},{"id":"https://openalex.org/I4210092357","display_name":"Institute of Mathematics and Computer Science","ror":"https://ror.org/00fy4at53","country_code":"MD","type":"facility","lineage":["https://openalex.org/I112090838","https://openalex.org/I4210092357"]}],"countries":["MD"],"is_corresponding":true,"raw_author_name":"G. B. Belyavskaya","raw_affiliation_strings":["Institute of Mathematics and Computer Science, Academy of Sciences, Academiei str. 5, MD-2028, Chisinau, Moldova"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Computer Science, Academy of Sciences, Academiei str. 5, MD-2028, Chisinau, Moldova","institution_ids":["https://openalex.org/I112090838","https://openalex.org/I4210092357"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031238808","display_name":"V. I. Izbash","orcid":"https://orcid.org/0009-0002-4684-405X"},"institutions":[{"id":"https://openalex.org/I112090838","display_name":"Academy of Sciences of Moldova","ror":"https://ror.org/01w01n720","country_code":"MD","type":"government","lineage":["https://openalex.org/I112090838"]},{"id":"https://openalex.org/I4210092357","display_name":"Institute of Mathematics and Computer Science","ror":"https://ror.org/00fy4at53","country_code":"MD","type":"facility","lineage":["https://openalex.org/I112090838","https://openalex.org/I4210092357"]}],"countries":["MD"],"is_corresponding":false,"raw_author_name":"V. I. Izbash","raw_affiliation_strings":["Institute of Mathematics and Computer Science, Academy of Sciences, Academiei str. 5, MD-2028, Chisinau, Moldova"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Computer Science, Academy of Sciences, Academiei str. 5, MD-2028, Chisinau, Moldova","institution_ids":["https://openalex.org/I112090838","https://openalex.org/I4210092357"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077114144","display_name":"Gary L. Mullen","orcid":null},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G. L. Mullen","raw_affiliation_strings":["Mathematics Department, The Pennsylvania State University, University Park, PA, 16802, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, The Pennsylvania State University, University Park, PA, 16802, U.S.A","institution_ids":["https://openalex.org/I130769515"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5018142775"],"corresponding_institution_ids":["https://openalex.org/I112090838","https://openalex.org/I4210092357"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.45792322,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"37","issue":"3","first_page":"405","last_page":"419"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9868000149726868,"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/T11130","display_name":"Coding theory and cryptography","score":0.9787999987602234,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/character","display_name":"Character (mathematics)","score":0.9022767543792725},{"id":"https://openalex.org/keywords/quasigroup","display_name":"Quasigroup","score":0.8787968158721924},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.6850172281265259},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.5447129607200623},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4624727964401245},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.45874035358428955},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45217469334602356},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.4481760263442993},{"id":"https://openalex.org/keywords/word","display_name":"Word (group theory)","score":0.4397459328174591},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41856276988983154},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3332666754722595},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3318209648132324},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.22757411003112793},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21623757481575012},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08229172229766846}],"concepts":[{"id":"https://openalex.org/C2780861071","wikidata":"https://www.wikidata.org/wiki/Q1062934","display_name":"Character (mathematics)","level":2,"score":0.9022767543792725},{"id":"https://openalex.org/C198800484","wikidata":"https://www.wikidata.org/wiki/Q1503423","display_name":"Quasigroup","level":2,"score":0.8787968158721924},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6850172281265259},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.5447129607200623},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4624727964401245},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.45874035358428955},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45217469334602356},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.4481760263442993},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.4397459328174591},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41856276988983154},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3332666754722595},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3318209648132324},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.22757411003112793},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21623757481575012},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08229172229766846},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-004-4033-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-004-4033-x","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W205212231","https://openalex.org/W1994885429","https://openalex.org/W2006987082","https://openalex.org/W2024326340","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2186480202","https://openalex.org/W2891079247","https://openalex.org/W4289542518","https://openalex.org/W2324333540","https://openalex.org/W1505989921","https://openalex.org/W2746970699","https://openalex.org/W2139137853","https://openalex.org/W2793520184","https://openalex.org/W1681429438","https://openalex.org/W2329794462"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}