{"id":"https://openalex.org/W4223530356","doi":"https://doi.org/10.1134/s0032946022010033","title":"Multi-twisted Additive Codes with Complementary Duals over Finite Fields","display_name":"Multi-twisted Additive Codes with Complementary Duals over Finite Fields","publication_year":2022,"publication_date":"2022-04-01","ids":{"openalex":"https://openalex.org/W4223530356","doi":"https://doi.org/10.1134/s0032946022010033"},"language":"en","primary_location":{"id":"doi:10.1134/s0032946022010033","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0032946022010033","pdf_url":null,"source":{"id":"https://openalex.org/S172430362","display_name":"Problems of Information Transmission","issn_l":"0032-9460","issn":["0032-9460","1608-3253"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Problems of Information Transmission","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/A5101498454","display_name":"Sandeep Sharma","orcid":"https://orcid.org/0009-0006-5876-5542"},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]},{"id":"https://openalex.org/I119939252","display_name":"Indraprastha Institute of Information Technology Delhi","ror":"https://ror.org/03vfp4g33","country_code":"IN","type":"education","lineage":["https://openalex.org/I119939252"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"S. Sharma","raw_affiliation_strings":["Department of Mathematics, Indraprastha Institute of Information Technology Delhi (IIIT-Delhi), New Delhi, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indraprastha Institute of Information Technology Delhi (IIIT-Delhi), New Delhi, India","institution_ids":["https://openalex.org/I119939252","https://openalex.org/I68891433"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100729984","display_name":"Anuradha Sharma","orcid":"https://orcid.org/0000-0002-0133-8658"},"institutions":[{"id":"https://openalex.org/I119939252","display_name":"Indraprastha Institute of Information Technology Delhi","ror":"https://ror.org/03vfp4g33","country_code":"IN","type":"education","lineage":["https://openalex.org/I119939252"]},{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"A. Sharma","raw_affiliation_strings":["Department of Mathematics, Indraprastha Institute of Information Technology Delhi (IIIT-Delhi), New Delhi, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indraprastha Institute of Information Technology Delhi (IIIT-Delhi), New Delhi, India","institution_ids":["https://openalex.org/I119939252","https://openalex.org/I68891433"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101498454"],"corresponding_institution_ids":["https://openalex.org/I119939252","https://openalex.org/I68891433"],"apc_list":null,"apc_paid":null,"fwci":0.3979,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.65211096,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"58","issue":"1","first_page":"32","last_page":"57"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.994700014591217,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.993399977684021,"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/dual-polyhedron","display_name":"Dual polyhedron","score":0.8463674187660217},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8365107774734497},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.821284294128418},{"id":"https://openalex.org/keywords/trace","display_name":"TRACE (psycholinguistics)","score":0.6756682395935059},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.6041622161865234},{"id":"https://openalex.org/keywords/bilinear-form","display_name":"Bilinear form","score":0.5974847078323364},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5197705626487732},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.46645158529281616},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.45759421586990356},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4557972550392151},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41748854517936707},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.4153825640678406},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07608559727668762}],"concepts":[{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.8463674187660217},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8365107774734497},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.821284294128418},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.6756682395935059},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.6041622161865234},{"id":"https://openalex.org/C8828549","wikidata":"https://www.wikidata.org/wiki/Q837924","display_name":"Bilinear form","level":2,"score":0.5974847078323364},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5197705626487732},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46645158529281616},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.45759421586990356},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4557972550392151},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41748854517936707},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.4153825640678406},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07608559727668762},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s0032946022010033","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0032946022010033","pdf_url":null,"source":{"id":"https://openalex.org/S172430362","display_name":"Problems of Information Transmission","issn_l":"0032-9460","issn":["0032-9460","1608-3253"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Problems of Information Transmission","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":20,"referenced_works":["https://openalex.org/W1530075677","https://openalex.org/W1555388865","https://openalex.org/W1568448119","https://openalex.org/W1980741888","https://openalex.org/W1999721813","https://openalex.org/W2026316191","https://openalex.org/W2049523162","https://openalex.org/W2060885602","https://openalex.org/W2121396547","https://openalex.org/W2122027458","https://openalex.org/W2128751442","https://openalex.org/W2167413626","https://openalex.org/W2313862606","https://openalex.org/W2593859995","https://openalex.org/W2606346401","https://openalex.org/W2787275646","https://openalex.org/W2789690066","https://openalex.org/W3152134250","https://openalex.org/W4206365503","https://openalex.org/W4230314857"],"related_works":["https://openalex.org/W2963635247","https://openalex.org/W2030438918","https://openalex.org/W2898359010","https://openalex.org/W2101436458","https://openalex.org/W2770224866","https://openalex.org/W2403050821","https://openalex.org/W4293716812","https://openalex.org/W4295373213","https://openalex.org/W4296465811","https://openalex.org/W1993774748"],"abstract_inverted_index":{"Multi-twisted":[0],"(MT)":[1],"additive":[2,12,19,31,39,43,68,89],"codes":[3,13,32,40,44,90],"over":[4,33,70,91],"finite":[5,34,72,92],"fields":[6,93],"form":[7],"an":[8,66],"important":[9],"class":[10,28],"of":[11,17,29],"and":[14,52,62],"are":[15],"generalizations":[16],"constacyclic":[18],"codes.":[20],"In":[21],"this":[22],"paper,":[23],"we":[24],"study":[25],"a":[26,60,71,76],"special":[27],"MT":[30,38,42,67,88],"fields,":[35],"namely":[36],"complementary-dual":[37,87],"(or":[41],"with":[45,94,107],"complementary":[46,77],"duals)":[47],"by":[48],"placing":[49],"ordinary,":[50],"Hermitian,":[51],"$$\\ast$$":[53],"trace":[54,99],"bilinear":[55,100],"forms.":[56,101],"We":[57,79,102],"also":[58,103],"derive":[59],"necessary":[61],"sufficient":[63],"condition":[64],"for":[65,85],"code":[69],"field":[73],"to":[74,96],"have":[75],"dual.":[78],"further":[80],"provide":[81],"explicit":[82],"enumeration":[83],"formulae":[84],"all":[86],"respect":[95],"the":[97],"aforementioned":[98],"illustrate":[104],"our":[105],"results":[106],"some":[108],"examples.":[109]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
