{"id":"https://openalex.org/W2144634231","doi":"https://doi.org/10.1109/tit.2010.2054174","title":"Application of Classical Hermitian Self-Orthogonal MDS Codes to Quantum MDS Codes","display_name":"Application of Classical Hermitian Self-Orthogonal MDS Codes to Quantum MDS Codes","publication_year":2010,"publication_date":"2010-08-19","ids":{"openalex":"https://openalex.org/W2144634231","doi":"https://doi.org/10.1109/tit.2010.2054174","mag":"2144634231"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2010.2054174","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2010.2054174","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/10356/94049/1/Application%20of%20Classical%20Hermitian%20Self-Orthogonal%20MDS%20Codes%20to%20Quantum%20MDS%20Codes.PDF","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031414307","display_name":"Lingfei Jin","orcid":"https://orcid.org/0000-0002-1523-880X"},"institutions":[{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]},{"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":["CN","SG"],"is_corresponding":false,"raw_author_name":"Lingfei Jin","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","School of Mathematics, Hefei University of Technology, Hefei, Anhui, China"],"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":"School of Mathematics, Hefei University of Technology, Hefei, Anhui, China","institution_ids":["https://openalex.org/I16365422"]}]},{"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"],"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"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005937717","display_name":"Jinquan Luo","orcid":"https://orcid.org/0000-0002-6703-7241"},"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"]},{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN","SG"],"is_corresponding":false,"raw_author_name":"Jinquan Luo","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","School of Mathematical Sciences, Yangzhou University, Yangzhou, China"],"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":"School of Mathematical Sciences, Yangzhou University, Yangzhou, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019628468","display_name":"Chaoping Xing","orcid":"https://orcid.org/0000-0002-1257-1033"},"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":"Chaoping Xing","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical and 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"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.1954,"has_fulltext":true,"cited_by_count":163,"citation_normalized_percentile":{"value":0.94259331,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"56","issue":"9","first_page":"4735","last_page":"4740"},"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":0.9959999918937683,"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":0.9947999715805054,"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/block-code","display_name":"Block code","score":0.6258419752120972},{"id":"https://openalex.org/keywords/quantum-convolutional-code","display_name":"Quantum convolutional code","score":0.5904574990272522},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.5577970743179321},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5271743535995483},{"id":"https://openalex.org/keywords/expander-code","display_name":"Expander code","score":0.4773952066898346},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4611295759677887},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.4319442808628082},{"id":"https://openalex.org/keywords/tornado-code","display_name":"Tornado code","score":0.4291191101074219},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4162716865539551},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2349194586277008},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23145374655723572},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2093113362789154},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.18517926335334778},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.09908780455589294}],"concepts":[{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.6258419752120972},{"id":"https://openalex.org/C69497775","wikidata":"https://www.wikidata.org/wiki/Q7269025","display_name":"Quantum convolutional code","level":5,"score":0.5904574990272522},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.5577970743179321},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5271743535995483},{"id":"https://openalex.org/C108509264","wikidata":"https://www.wikidata.org/wiki/Q5420758","display_name":"Expander code","level":5,"score":0.4773952066898346},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4611295759677887},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.4319442808628082},{"id":"https://openalex.org/C65058987","wikidata":"https://www.wikidata.org/wiki/Q7826005","display_name":"Tornado code","level":5,"score":0.4291191101074219},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4162716865539551},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2349194586277008},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23145374655723572},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2093113362789154},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.18517926335334778},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.09908780455589294}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2010.2054174","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2010.2054174","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:10356/94049","is_oa":true,"landing_page_url":"http://hdl.handle.net/10220/7706","pdf_url":"https://dr.ntu.edu.sg/bitstream/10356/94049/1/Application%20of%20Classical%20Hermitian%20Self-Orthogonal%20MDS%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:10356/94049","is_oa":true,"landing_page_url":"http://hdl.handle.net/10220/7706","pdf_url":"https://dr.ntu.edu.sg/bitstream/10356/94049/1/Application%20of%20Classical%20Hermitian%20Self-Orthogonal%20MDS%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":[{"id":"https://metadata.un.org/sdg/10","score":0.5099999904632568,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G5302094078","display_name":null,"funder_award_id":"NRF-CRP2-2007-03","funder_id":"https://openalex.org/F4320320709","funder_display_name":"National Research Foundation Singapore"},{"id":"https://openalex.org/G89056297","display_name":null,"funder_award_id":"CRP2-2007-03","funder_id":"https://openalex.org/F4320320709","funder_display_name":"National Research Foundation Singapore"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320320709","display_name":"National Research Foundation Singapore","ror":"https://ror.org/03cpyc314"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321605","display_name":"Government of Jiangsu Province","ror":"https://ror.org/004svx814"},{"id":"https://openalex.org/F4320322724","display_name":"Ministry of Education, India","ror":"https://ror.org/048xjjh50"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2144634231.pdf"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W1486898453","https://openalex.org/W1539019425","https://openalex.org/W1548650237","https://openalex.org/W1557415002","https://openalex.org/W1565060721","https://openalex.org/W1590562653","https://openalex.org/W1606480398","https://openalex.org/W1977080317","https://openalex.org/W1989420631","https://openalex.org/W1999706070","https://openalex.org/W2060885602","https://openalex.org/W2076107177","https://openalex.org/W2087256203","https://openalex.org/W2095755044","https://openalex.org/W2112690875","https://openalex.org/W2114999643","https://openalex.org/W2119200400","https://openalex.org/W2128751442","https://openalex.org/W2131690084","https://openalex.org/W2135537429","https://openalex.org/W2138986521","https://openalex.org/W2140806133","https://openalex.org/W2143438504","https://openalex.org/W2162938940","https://openalex.org/W2167413626","https://openalex.org/W2613956024","https://openalex.org/W2763302490","https://openalex.org/W3100206575","https://openalex.org/W4248289108"],"related_works":["https://openalex.org/W2151857680","https://openalex.org/W1789159349","https://openalex.org/W2460434904","https://openalex.org/W1992135520","https://openalex.org/W2142613177","https://openalex.org/W2095450438","https://openalex.org/W2153823223","https://openalex.org/W1798117689","https://openalex.org/W4252865158","https://openalex.org/W2156895811"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,21],"first":[4],"construct":[5],"several":[6],"classes":[7],"of":[8,35,47],"classical":[9,19],"Hermitian":[10],"self-orthogonal":[11],"maximum":[12],"distance":[13],"separable":[14],"(MDS)":[15],"codes.":[16,29],"Through":[17],"these":[18],"codes,":[20],"are":[22,39],"able":[23],"to":[24],"obtain":[25],"various":[26],"quantum":[27,37,49],"MDS":[28],"It":[30],"turns":[31],"out":[32],"that":[33,44],"many":[34],"our":[36,48],"codes":[38,50],"new":[40],"in":[41],"the":[42,45],"sense":[43],"parameters":[46],"cannot":[51],"be":[52],"obtained":[53],"from":[54],"all":[55],"previous":[56],"constructions.":[57]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":19},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":16},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":15},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":11},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-13T07:54:00.901334","created_date":"2025-10-10T00:00:00"}
