{"id":"https://openalex.org/W3001726001","doi":"https://doi.org/10.1109/iwsda46143.2019.8966107","title":"Random Matrices from Linear Codes and Wigner\u2019s Semicircle Law II","display_name":"Random Matrices from Linear Codes and Wigner\u2019s Semicircle Law II","publication_year":2019,"publication_date":"2019-10-01","ids":{"openalex":"https://openalex.org/W3001726001","doi":"https://doi.org/10.1109/iwsda46143.2019.8966107","mag":"3001726001"},"language":"en","primary_location":{"id":"doi:10.1109/iwsda46143.2019.8966107","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iwsda46143.2019.8966107","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 Ninth International Workshop on Signal Design and its Applications in Communications (IWSDA)","raw_type":"proceedings-article"},"type":"preprint","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/A5022044579","display_name":"Chin Hei Chan","orcid":"https://orcid.org/0000-0001-8330-180X"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]},{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Chin Hei Chan","raw_affiliation_strings":["Dept. Mathematics, Hong Kong University of Science and Technology, Kowloon, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Dept. Mathematics, Hong Kong University of Science and Technology, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066461623","display_name":"Maosheng Xiong","orcid":"https://orcid.org/0000-0001-6044-9561"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Maosheng Xiong","raw_affiliation_strings":["Dept. Mathematics, Hong Kong University of Science and Technology, Kowloon, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Dept. Mathematics, Hong Kong University of Science and Technology, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022044579"],"corresponding_institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"],"apc_list":null,"apc_paid":null,"fwci":0.5345,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.68921465,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"142","issue":null,"first_page":"1","last_page":"3"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7351545095443726},{"id":"https://openalex.org/keywords/normalization","display_name":"Normalization (sociology)","score":0.5267005562782288},{"id":"https://openalex.org/keywords/random-matrix","display_name":"Random matrix","score":0.4728042483329773},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4472704827785492},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4452913701534271},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4413038194179535},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.44031837582588196},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4290756285190582},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4184532165527344},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23310774564743042},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2238423228263855},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.2233506143093109},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12682974338531494},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.11012020707130432}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7351545095443726},{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.5267005562782288},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.4728042483329773},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4472704827785492},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4452913701534271},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4413038194179535},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.44031837582588196},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4290756285190582},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4184532165527344},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23310774564743042},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2238423228263855},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.2233506143093109},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12682974338531494},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.11012020707130432},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/iwsda46143.2019.8966107","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iwsda46143.2019.8966107","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 Ninth International Workshop on Signal Design and its Applications in Communications (IWSDA)","raw_type":"proceedings-article"},{"id":"pmh:oai:repository.ust.hk:1783.1-100975","is_oa":false,"landing_page_url":"http://www.scopus.com/record/display.url?eid=2-s2.0-85079214669&origin=inward","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference paper"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7200000286102295,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1559343931","https://openalex.org/W1586554030","https://openalex.org/W1968492132","https://openalex.org/W1973335304","https://openalex.org/W1995241424","https://openalex.org/W2021217937","https://openalex.org/W2022811481","https://openalex.org/W2043905980","https://openalex.org/W2064949741","https://openalex.org/W2072184935","https://openalex.org/W2081946247","https://openalex.org/W2103900775","https://openalex.org/W2120175493","https://openalex.org/W2137061851","https://openalex.org/W2137335690","https://openalex.org/W2275278733","https://openalex.org/W2588981432","https://openalex.org/W2595468395","https://openalex.org/W2963386402","https://openalex.org/W2963397547","https://openalex.org/W3099799842","https://openalex.org/W3103043357","https://openalex.org/W4206775542","https://openalex.org/W4241542937","https://openalex.org/W4243997607","https://openalex.org/W6675485062","https://openalex.org/W6764469476"],"related_works":["https://openalex.org/W2591697403","https://openalex.org/W2944728705","https://openalex.org/W2904022177","https://openalex.org/W2359348847","https://openalex.org/W3011538607","https://openalex.org/W4294432981","https://openalex.org/W4321441197","https://openalex.org/W2953716828","https://openalex.org/W2469820710","https://openalex.org/W2152642030"],"abstract_inverted_index":{"Recently":[0],"we":[1,75],"considered":[2],"a":[3,94],"new":[4],"normalization":[5],"of":[6,41,48,56,100,103],"matrices":[7],"obtained":[8],"by":[9,66],"choosing":[10],"distinct":[11],"codewords":[12],"at":[13,60,82],"random":[14],"from":[15],"linear":[16],"codes":[17,43,58],"over":[18],"finite":[19],"fields":[20],"and":[21],"proved":[22],"that":[23,52,77],"under":[24],"some":[25],"natural":[26],"algebraic":[27],"conditions":[28,50],"their":[29],"empirical":[30],"spectral":[31],"distribution":[32],"converges":[33],"to":[34,45,72,87],"Wigner's":[35],"semicircle":[36],"law":[37],"as":[38],"the":[39,42,49,53,57,78,89,101,104],"length":[40,102],"goes":[44],"infinity.":[46],"One":[47],"is":[51,59,85],"dual":[54,79],"distance":[55,80],"least":[61,83],"5.":[62],"In":[63],"this":[64],"report,":[65],"employing":[67],"more":[68],"advanced":[69],"techniques":[70],"related":[71],"Stieltjes":[73],"transform,":[74],"show":[76],"being":[81],"5":[84],"sufficient":[86],"ensure":[88],"convergence.":[90],"We":[91],"also":[92],"obtain":[93],"fast":[95],"convergence":[96],"rate":[97],"in":[98],"terms":[99],"code.":[105],"\u00a9":[106],"2019":[107],"IEEE.":[108]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}