{"id":"https://openalex.org/W2315086312","doi":"https://doi.org/10.1142/s1793830916500373","title":"Optimal quantum codes from additive skew cyclic codes","display_name":"Optimal quantum codes from additive skew cyclic codes","publication_year":2016,"publication_date":"2016-03-30","ids":{"openalex":"https://openalex.org/W2315086312","doi":"https://doi.org/10.1142/s1793830916500373","mag":"2315086312"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830916500373","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830916500373","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5057272198","display_name":"Nuh Ayd\u0131n","orcid":"https://orcid.org/0000-0002-5618-2427"},"institutions":[{"id":"https://openalex.org/I166972335","display_name":"Kenyon College","ror":"https://ror.org/04ckqgs57","country_code":"US","type":"education","lineage":["https://openalex.org/I166972335"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nuh Aydin","raw_affiliation_strings":["Department of Mathematics, Kenyon College, Gambier, OH 43022, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kenyon College, Gambier, OH 43022, USA","institution_ids":["https://openalex.org/I166972335"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019610943","display_name":"Taher Abualrub","orcid":"https://orcid.org/0000-0002-3917-0862"},"institutions":[{"id":"https://openalex.org/I199440890","display_name":"American University of Sharjah","ror":"https://ror.org/001g2fj96","country_code":"AE","type":"education","lineage":["https://openalex.org/I199440890"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"Taher Abualrub","raw_affiliation_strings":["Department of Mathematics and Statistics, American University of Sharjah, Sharjah, United Arab Emirates"],"raw_orcid":"https://orcid.org/0000-0002-3917-0862","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, American University of Sharjah, Sharjah, United Arab Emirates","institution_ids":["https://openalex.org/I199440890"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4416,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.77922362,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"08","issue":"03","first_page":"1650037","last_page":"1650037"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","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/T10682","display_name":"Quantum Computing Algorithms and Architecture","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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9994999766349792,"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":0.9986000061035156,"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/skew","display_name":"Skew","score":0.7775940895080566},{"id":"https://openalex.org/keywords/expander-code","display_name":"Expander code","score":0.6667733192443848},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6335769891738892},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.5866294503211975},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.5612967610359192},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46753451228141785},{"id":"https://openalex.org/keywords/luby-transform-code","display_name":"Luby transform code","score":0.45701414346694946},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.44956207275390625},{"id":"https://openalex.org/keywords/reed\u2013muller-code","display_name":"Reed\u2013Muller code","score":0.42011743783950806},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1997440755367279},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16903048753738403},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07319745421409607},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06718099117279053}],"concepts":[{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.7775940895080566},{"id":"https://openalex.org/C108509264","wikidata":"https://www.wikidata.org/wiki/Q5420758","display_name":"Expander code","level":5,"score":0.6667733192443848},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6335769891738892},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.5866294503211975},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.5612967610359192},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46753451228141785},{"id":"https://openalex.org/C128151799","wikidata":"https://www.wikidata.org/wiki/Q13563306","display_name":"Luby transform code","level":5,"score":0.45701414346694946},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.44956207275390625},{"id":"https://openalex.org/C169021753","wikidata":"https://www.wikidata.org/wiki/Q201972","display_name":"Reed\u2013Muller code","level":5,"score":0.42011743783950806},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1997440755367279},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16903048753738403},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07319745421409607},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06718099117279053},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s1793830916500373","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830916500373","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"},{"id":"pmh:oai:digital.kenyon.edu:math_pubs-1084","is_oa":false,"landing_page_url":"https://digital.kenyon.edu/math_pubs/85","pdf_url":null,"source":{"id":"https://openalex.org/S4377196661","display_name":"Digital Kenyon (Kenyon College)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I166972335","host_organization_name":"Kenyon College","host_organization_lineage":["https://openalex.org/I166972335"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1999706070","https://openalex.org/W2031448371","https://openalex.org/W2105512769","https://openalex.org/W2151359594","https://openalex.org/W2167413626","https://openalex.org/W2952959758","https://openalex.org/W3104304785"],"related_works":["https://openalex.org/W4386066307","https://openalex.org/W4248142543","https://openalex.org/W2041319252","https://openalex.org/W2293846540","https://openalex.org/W1798117689","https://openalex.org/W2095450438","https://openalex.org/W4383466497","https://openalex.org/W1992135520","https://openalex.org/W4205600360","https://openalex.org/W2156895811"],"abstract_inverted_index":{"Additive":[0],"codes":[1,18,26,42,68],"received":[2],"much":[3],"attention":[4],"due":[5],"to":[6,20],"their":[7],"connections":[8],"with":[9],"quantum":[10,67],"codes.":[11,31,56],"On":[12],"the":[13,44],"other":[14],"hand,":[15],"skew":[16,40],"cyclic":[17,41],"proved":[19],"be":[21,70],"a":[22],"useful":[23],"class":[24],"of":[25,54],"that":[27,61],"contain":[28],"many":[29,62],"good":[30],"In":[32],"this":[33,73],"work,":[34],"we":[35,58],"introduce":[36],"and":[37,65],"study":[38],"additive":[39],"over":[43],"quaternary":[45],"field":[46],"[Formula:":[47],"see":[48],"text],":[49],"obtaining":[50],"some":[51],"structural":[52],"properties":[53],"these":[55],"Moreover,":[57],"also":[59],"show":[60],"best":[63],"known":[64],"optimal":[66],"can":[69],"obtained":[71],"from":[72],"class.":[74]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}