{"id":"https://openalex.org/W2078893330","doi":"https://doi.org/10.1109/tit.2015.2388576","title":"Application of Constacyclic Codes to Quantum MDS Codes","display_name":"Application of Constacyclic Codes to Quantum MDS Codes","publication_year":2015,"publication_date":"2015-01-07","ids":{"openalex":"https://openalex.org/W2078893330","doi":"https://doi.org/10.1109/tit.2015.2388576","mag":"2078893330"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2015.2388576","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2388576","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://dr.ntu.edu.sg/bitstream/10356/107237/1/Application%20of%20%20constacyclic%20codes%20to%20quantum%20MDS%20codes.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081545653","display_name":"Bocong Chen","orcid":"https://orcid.org/0000-0001-5295-8403"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Bocong Chen","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","Division of Mathematical Sciences, School of Physical & Mathematical Sciences , Nanyang Technological University , Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical & Mathematical Sciences , Nanyang Technological University , Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063268716","display_name":"San Ling","orcid":"https://orcid.org/0000-0002-1978-3557"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"San Ling","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","Division of Mathematical Sciences, School of Physical & Mathematical Sciences , Nanyang Technological University , Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical & Mathematical Sciences , Nanyang Technological University , Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100459828","display_name":"Guanghui Zhang","orcid":"https://orcid.org/0000-0003-0432-7329"},"institutions":[{"id":"https://openalex.org/I4210117164","display_name":"Luoyang Normal University","ror":"https://ror.org/029man787","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210117164"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guanghui Zhang","raw_affiliation_strings":["School of Mathematical Sciences, Luoyang Normal University, Luoyang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Luoyang Normal University, Luoyang, China","institution_ids":["https://openalex.org/I4210117164"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":23.5727,"has_fulltext":false,"cited_by_count":192,"citation_normalized_percentile":{"value":0.99507873,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"61","issue":"3","first_page":"1474","last_page":"1484"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","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/T10682","display_name":"Quantum Computing Algorithms and Architecture","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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9991999864578247,"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":0.9969000220298767,"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/code","display_name":"Code (set theory)","score":0.49181321263313293},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.45547154545783997},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.430814653635025},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.421550452709198},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3583822250366211},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27201759815216064},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16694390773773193},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10788282752037048}],"concepts":[{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.49181321263313293},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.45547154545783997},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.430814653635025},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.421550452709198},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3583822250366211},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27201759815216064},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16694390773773193},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10788282752037048},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2015.2388576","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2388576","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:dr.ntu.edu.sg:10356/107237","is_oa":true,"landing_page_url":"http://hdl.handle.net/10220/25434","pdf_url":"https://dr.ntu.edu.sg/bitstream/10356/107237/1/Application%20of%20%20constacyclic%20codes%20to%20quantum%20MDS%20codes.pdf","source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:dr.ntu.edu.sg:10356/107237","is_oa":true,"landing_page_url":"http://hdl.handle.net/10220/25434","pdf_url":"https://dr.ntu.edu.sg/bitstream/10356/107237/1/Application%20of%20%20constacyclic%20codes%20to%20quantum%20MDS%20codes.pdf","source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6001354500","display_name":null,"funder_award_id":"M4080456","funder_id":"https://openalex.org/F4320320766","funder_display_name":"Nanyang Technological University"},{"id":"https://openalex.org/G7532221291","display_name":"\u6709\u9650\u73af\u3001\u7fa4\u73af\u4e0a\u7684\u7f16\u7801\u548c\u76f8\u5173\u7b97\u6cd5\u7814\u7a76","funder_award_id":"11171370","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320320766","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2078893330.pdf"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W1539019425","https://openalex.org/W1587885095","https://openalex.org/W1590562653","https://openalex.org/W1965562276","https://openalex.org/W1980856895","https://openalex.org/W1989420631","https://openalex.org/W2002370994","https://openalex.org/W2030818964","https://openalex.org/W2060885602","https://openalex.org/W2076107177","https://openalex.org/W2078022333","https://openalex.org/W2087951106","https://openalex.org/W2092938635","https://openalex.org/W2095243060","https://openalex.org/W2095755044","https://openalex.org/W2099693138","https://openalex.org/W2110224347","https://openalex.org/W2112690875","https://openalex.org/W2112952018","https://openalex.org/W2116059612","https://openalex.org/W2119200400","https://openalex.org/W2135537429","https://openalex.org/W2136561839","https://openalex.org/W2137583829","https://openalex.org/W2138630361","https://openalex.org/W2140806133","https://openalex.org/W2143438504","https://openalex.org/W2144634231","https://openalex.org/W2145801399","https://openalex.org/W2150886601","https://openalex.org/W2151819397","https://openalex.org/W2162938940","https://openalex.org/W2165203788","https://openalex.org/W2167413626","https://openalex.org/W2609710726","https://openalex.org/W2763302490","https://openalex.org/W3099836403","https://openalex.org/W3099891790","https://openalex.org/W4206775542"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"Quantum":[0],"maximum-distance-separable":[1],"(MDS)":[2],"codes":[3,27,98,148,160,169],"form":[4],"an":[5],"important":[6],"class":[7],"of":[8,18,51,58,94,138,144],"quantum":[9,14,96,158,167],"codes.":[10,111,128,141],"To":[11],"get":[12],"q-ary":[13],"MDS":[15,26,97,110,147,159,168],"codes,":[16],"one":[17],"the":[19,47,122,136,157,177,181],"effective":[20],"ways":[21],"is":[22,71],"to":[23,116],"find":[24],"linear":[25,55],"C":[28,35,42,57,70,76,81],"over":[29,61],"F":[30,62,84],"<sub":[31,63,85],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[32,37,44,64,78,86,89],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">q2</sub>":[33,65,87],"satisfying":[34],"<sup":[36,43,77,88],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u22a5H</sup>":[38,45,79],"\u2286":[39,80],"C,":[40],"where":[41],"denotes":[46],"Hermitian":[48],"dual":[49],"code":[50,56,74],"C.":[52],"For":[53],"a":[54,72,118],"length":[59],"n":[60],",":[66],"we":[67],"say":[68],"that":[69],"dual-containing":[73,108,126,139,145],"if":[75],"and":[82,132,151],"C\u2260":[83],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sup>":[90],".":[91],"Several":[92],"classes":[93,143],"new":[95],"with":[99],"relatively":[100],"large":[101],"minimum":[102,173],"distance":[103,174],"have":[104,172],"been":[105],"produced":[106],"through":[107],"constacyclic":[109,127,140,146],"These":[112],"works":[113],"motivate":[114],"us":[115],"make":[117],"careful":[119],"study":[120],"on":[121],"existence":[123,137],"conditions":[124,134],"for":[125,135],"We":[129],"obtain":[130],"necessary":[131],"sufficient":[133],"Four":[142],"are":[149,154,161],"constructed":[150],"their":[152],"parameters":[153],"computed.":[155],"Consequently,":[156],"derived":[162],"from":[163],"these":[164],"parameters.":[165],"The":[166],"exhibited":[170],"here":[171],"bigger":[175],"than":[176],"ones":[178],"available":[179],"in":[180],"literature.":[182]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":22},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":27},{"year":2019,"cited_by_count":26},{"year":2018,"cited_by_count":19},{"year":2017,"cited_by_count":13},{"year":2016,"cited_by_count":15},{"year":2015,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}