{"id":"https://openalex.org/W4407289951","doi":"https://doi.org/10.3934/amc.2025005","title":"A class of subfield codes and their duals","display_name":"A class of subfield codes and their duals","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4407289951","doi":"https://doi.org/10.3934/amc.2025005"},"language":"en","primary_location":{"id":"doi:10.3934/amc.2025005","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2025005","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.2025005","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005832249","display_name":"Huang Junsong","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Junsong Huang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100326651","display_name":"Tongjiang Yan","orcid":"https://orcid.org/0000-0002-9647-503X"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tongjiang Yan","raw_affiliation_strings":["College of Science, China University of Petroleum(East China), Qingdao Shandong, 266580, China"],"affiliations":[{"raw_affiliation_string":"College of Science, China University of Petroleum(East China), Qingdao Shandong, 266580, China","institution_ids":["https://openalex.org/I4210162190"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005832249"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00974653,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":"5","first_page":"1488","last_page":"1498"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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":1.0,"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/T11797","display_name":"graph theory and CDMA systems","score":0.996999979019165,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9940000176429749,"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/dual-polyhedron","display_name":"Dual polyhedron","score":0.9482555389404297},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9121063947677612},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.7108069062232971},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38279151916503906},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35154712200164795},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3208501935005188},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05736193060874939},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.05145221948623657}],"concepts":[{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.9482555389404297},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9121063947677612},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.7108069062232971},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38279151916503906},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35154712200164795},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3208501935005188},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05736193060874939},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05145221948623657}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/amc.2025005","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2025005","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.2025005","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2025005","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1137313232","https://openalex.org/W1471103927","https://openalex.org/W1587687098","https://openalex.org/W1771040533","https://openalex.org/W1967648774","https://openalex.org/W2089606264","https://openalex.org/W2101226255","https://openalex.org/W2238578788","https://openalex.org/W2936013868","https://openalex.org/W2962947453","https://openalex.org/W2963169017","https://openalex.org/W2963907012","https://openalex.org/W2964158668","https://openalex.org/W3003413970","https://openalex.org/W3014818358","https://openalex.org/W3038537849","https://openalex.org/W3092468373","https://openalex.org/W3093195790","https://openalex.org/W4206775542","https://openalex.org/W4213287502","https://openalex.org/W4388286203","https://openalex.org/W4401879605"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2536013957","https://openalex.org/W2594626304","https://openalex.org/W2090263210","https://openalex.org/W4322492640","https://openalex.org/W2012754903","https://openalex.org/W2006369463","https://openalex.org/W2949039133","https://openalex.org/W2082432022","https://openalex.org/W4386694343"],"abstract_inverted_index":{"Recently,":[0],"Xiang":[1],"and":[2,17,39,55,104],"Yin":[3],"studied":[4],"two":[5],"families":[6],"of":[7,10,22,48,88,100],"subfield":[8,46],"codes":[9,12,47,50,87],"linear":[11,24,49,80],"over":[13,51],"$":[14,30,52,54,77,89,101],"\\mathbb{F}_{2^m}":[15],"$,":[16,91,103],"determined":[18],"the":[19,23,45,57,85,97],"weight":[20,58,98],"distribution":[21,59,99],"code$":[25],"\\mathcal{C}^{(2)}":[26],"=":[27,32,62],"\\left\\{\\left(\\left(\\operatorname{Tr}_{q/2}(ax^2+by^2+wy)+c\\right)_{x,y\\in\\mathbb{F}_q},\\operatorname{Tr}_{q/2}(a)\\right):a,b,w\\in\\mathbb{F}_q,c\\in\\mathbb{F}_2\\right\\},":[28],"$where":[29],"q":[31],"2^m":[33],"$.":[34],"Motivated":[35],"by":[36,96],"this":[37],"paper":[38],"other":[40],"former":[41],"contributions,":[42],"we":[43],"study":[44],"\\mathbb{F}_{p^m}":[53],"obtain":[56],"of$":[60],"\\mathcal{C}^{(p)}":[61,90,102],"\\left\\{\\left(\\operatorname{Tr}_{p^m/p}(ax^{p^k+1}+bx+uy)+w\\right)_{x,y":[63],"\\in":[64,68,71],"\\mathbb{F}_{p^m}}:":[65],"a,":[66],"b,u":[67],"\\mathbb{F}_{p^m},":[69],"w":[70],"\\mathbb{F}_p\\right\\},":[72],"$which":[73],"is":[74],"a":[75],"self-orthogonal":[76],"p":[78],"$-divisible":[79],"code.":[81],"We":[82],"also":[83],"investigate":[84],"dual":[86],"whose":[92],"parameters":[93],"are":[94,106],"obtained":[95],"they":[105],"almost":[107],"optimal":[108],"codes.":[109]},"counts_by_year":[],"updated_date":"2025-12-28T23:10:05.387466","created_date":"2025-10-10T00:00:00"}
