{"id":"https://openalex.org/W4405409927","doi":"https://doi.org/10.3934/amc.2024054","title":"Codes based on dyadic matrices and their generalizations","display_name":"Codes based on dyadic matrices and their generalizations","publication_year":2024,"publication_date":"2024-12-16","ids":{"openalex":"https://openalex.org/W4405409927","doi":"https://doi.org/10.3934/amc.2024054"},"language":"en","primary_location":{"id":"doi:10.3934/amc.2024054","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2024054","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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.2024054","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040657380","display_name":"Meraiah Martinez","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Meraiah Martinez","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010929469","display_name":"Tefjol Pllaha","orcid":"https://orcid.org/0000-0001-6280-2648"},"institutions":[{"id":"https://openalex.org/I2613432","display_name":"University of South Florida","ror":"https://ror.org/032db5x82","country_code":"US","type":"education","lineage":["https://openalex.org/I2613432"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tefjol Pllaha","raw_affiliation_strings":["University of South Florida, USA"],"affiliations":[{"raw_affiliation_string":"University of South Florida, USA","institution_ids":["https://openalex.org/I2613432"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072790914","display_name":"Christine A. Kelley","orcid":null},"institutions":[{"id":"https://openalex.org/I114395901","display_name":"University of Nebraska\u2013Lincoln","ror":"https://ror.org/043mer456","country_code":"US","type":"education","lineage":["https://openalex.org/I114395901"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Christine A. Kelley","raw_affiliation_strings":["University of Nebraska \u2013 Lincoln, USA"],"affiliations":[{"raw_affiliation_string":"University of Nebraska \u2013 Lincoln, USA","institution_ids":["https://openalex.org/I114395901"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5040657380"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3626,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.69899108,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"19","issue":"5","first_page":"1277","last_page":"1300"},"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9991999864578247,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9986000061035156,"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/mathematics","display_name":"Mathematics","score":0.9327877759933472},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.43993085622787476},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4188721776008606}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9327877759933472},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43993085622787476},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4188721776008606}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/amc.2024054","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2024054","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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.2024054","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2024054","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":17,"referenced_works":["https://openalex.org/W1536930200","https://openalex.org/W1550367722","https://openalex.org/W1667880265","https://openalex.org/W1965275036","https://openalex.org/W2011987724","https://openalex.org/W2017429418","https://openalex.org/W2063592138","https://openalex.org/W2099727759","https://openalex.org/W2100123008","https://openalex.org/W2114207424","https://openalex.org/W2127875464","https://openalex.org/W2150802958","https://openalex.org/W2559757893","https://openalex.org/W2951786898","https://openalex.org/W3038618267","https://openalex.org/W3198948488","https://openalex.org/W4289655136"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Codes":[0],"based":[1,31],"on":[2,32,60,103],"algebraically":[3],"structured":[4,53],"parity":[5,33,47,97],"check":[6,34,48,98],"matrices":[7,35,56],"are":[8,37],"desirable":[9],"in":[10,66,120],"applications":[11],"due":[12],"to":[13],"their":[14,117],"compact":[15],"representations,":[16],"practical":[17],"implementation":[18],"advantages,":[19],"and":[20,95,106,116],"tractable":[21],"decoder":[22],"performance":[23],"analysis.":[24],"In":[25],"this":[26],"paper,":[27],"we":[28],"examine":[29,86],"codes":[30,76],"that":[36],"dyadic,":[38,91],"$":[39,92],"n":[40,93],"$-adic,":[41,94],"or":[42,73,82],"quasi-dyadic":[43],"(QD),":[44],"meaning":[45],"the":[46,61,67,104,112],"matrix":[49,72],"representation":[50],"is":[51],"block":[52],"with":[54],"dyadic":[55],"as":[57],"blocks.":[58],"Depending":[59],"number":[62],"of":[63,70,90,111],"nonzero":[64],"positions":[65],"leading":[68],"row":[69],"each":[71],"block,":[74],"these":[75],"may":[77],"be":[78],"either":[79],"low":[80],"density":[81],"moderate":[83],"density.":[84],"We":[85],"basic":[87],"code":[88,122],"properties":[89],"QD":[96],"codes,":[99],"including":[100],"reproducibility,":[101],"bounds":[102],"dimension":[105],"minimum":[107],"distance,":[108],"cycle":[109],"structure":[110],"corresponding":[113],"Tanner":[114],"graph,":[115],"possible":[118],"use":[119],"quantum":[121],"constructions.":[123]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-27T23:08:20.325037","created_date":"2025-10-10T00:00:00"}