{"id":"https://openalex.org/W2096760585","doi":"https://doi.org/10.1109/isit.2010.5513675","title":"Quasi-Hadamard matrix","display_name":"Quasi-Hadamard matrix","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2096760585","doi":"https://doi.org/10.1109/isit.2010.5513675","mag":"2096760585"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2010.5513675","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513675","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","raw_type":"proceedings-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/A5004654299","display_name":"Ki-Hyeon Park","orcid":null},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Ki-Hyeon Park","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Yonsei University, Seoul, South Korea","Dept. of Electrical and Electronic Eng., Yonsei University, Seoul, Korea 120-749"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Yonsei University, Seoul, South Korea","institution_ids":["https://openalex.org/I193775966"]},{"raw_affiliation_string":"Dept. of Electrical and Electronic Eng., Yonsei University, Seoul, Korea 120-749","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049042666","display_name":"Hong\u2010Yeop Song","orcid":"https://orcid.org/0000-0001-8764-9424"},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Hong-Yeop Song","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Yonsei University, Seoul, South Korea","Dept. of Electrical and Electronic Eng., Yonsei University, Seoul, Korea 120-749"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Yonsei University, Seoul, South Korea","institution_ids":["https://openalex.org/I193775966"]},{"raw_affiliation_string":"Dept. of Electrical and Electronic Eng., Yonsei University, Seoul, Korea 120-749","institution_ids":["https://openalex.org/I193775966"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004654299"],"corresponding_institution_ids":["https://openalex.org/I193775966"],"apc_list":null,"apc_paid":null,"fwci":0.2886,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.64618398,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2","issue":null,"first_page":"1243","last_page":"1247"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9994999766349792,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9232000112533569,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/hadamard-transform","display_name":"Hadamard transform","score":0.8641009330749512},{"id":"https://openalex.org/keywords/complex-hadamard-matrix","display_name":"Complex Hadamard matrix","score":0.7937725782394409},{"id":"https://openalex.org/keywords/hadamards-maximal-determinant-problem","display_name":"Hadamard's maximal determinant problem","score":0.7486411333084106},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7436057329177856},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6283987164497375},{"id":"https://openalex.org/keywords/hadamards-inequality","display_name":"Hadamard's inequality","score":0.5911498665809631},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.5599058270454407},{"id":"https://openalex.org/keywords/hadamard-matrix","display_name":"Hadamard matrix","score":0.5592103600502014},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5463904738426208},{"id":"https://openalex.org/keywords/hadamard-three-lines-theorem","display_name":"Hadamard three-lines theorem","score":0.5040611028671265},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5023868083953857},{"id":"https://openalex.org/keywords/matrix-equivalence","display_name":"Matrix equivalence","score":0.5010790824890137},{"id":"https://openalex.org/keywords/equivalence-class","display_name":"Equivalence class (music)","score":0.4931744933128357},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43751299381256104},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.1188955008983612},{"id":"https://openalex.org/keywords/matrix-analysis","display_name":"Matrix analysis","score":0.09598004817962646},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07363894581794739},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06105521321296692}],"concepts":[{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.8641009330749512},{"id":"https://openalex.org/C6497535","wikidata":"https://www.wikidata.org/wiki/Q5156556","display_name":"Complex Hadamard matrix","level":4,"score":0.7937725782394409},{"id":"https://openalex.org/C121334634","wikidata":"https://www.wikidata.org/wiki/Q5637579","display_name":"Hadamard's maximal determinant problem","level":5,"score":0.7486411333084106},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7436057329177856},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6283987164497375},{"id":"https://openalex.org/C31021346","wikidata":"https://www.wikidata.org/wiki/Q1365087","display_name":"Hadamard's inequality","level":4,"score":0.5911498665809631},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.5599058270454407},{"id":"https://openalex.org/C30463267","wikidata":"https://www.wikidata.org/wiki/Q1422682","display_name":"Hadamard matrix","level":3,"score":0.5592103600502014},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5463904738426208},{"id":"https://openalex.org/C68720959","wikidata":"https://www.wikidata.org/wiki/Q3527250","display_name":"Hadamard three-lines theorem","level":4,"score":0.5040611028671265},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5023868083953857},{"id":"https://openalex.org/C34459055","wikidata":"https://www.wikidata.org/wiki/Q256151","display_name":"Matrix equivalence","level":4,"score":0.5010790824890137},{"id":"https://openalex.org/C2777044963","wikidata":"https://www.wikidata.org/wiki/Q5384707","display_name":"Equivalence class (music)","level":2,"score":0.4931744933128357},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43751299381256104},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.1188955008983612},{"id":"https://openalex.org/C149488123","wikidata":"https://www.wikidata.org/wiki/Q17098730","display_name":"Matrix analysis","level":3,"score":0.09598004817962646},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07363894581794739},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06105521321296692},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2010.5513675","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513675","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W401986301","https://openalex.org/W1613044292","https://openalex.org/W1976224891","https://openalex.org/W2034198076","https://openalex.org/W2043419201","https://openalex.org/W2057893457","https://openalex.org/W2075412945","https://openalex.org/W2117420234","https://openalex.org/W2138042653","https://openalex.org/W4210694990"],"related_works":["https://openalex.org/W2138472192","https://openalex.org/W4226106482","https://openalex.org/W1976224891","https://openalex.org/W1971692815","https://openalex.org/W3154819821","https://openalex.org/W2294836888","https://openalex.org/W2026768906","https://openalex.org/W2093489410","https://openalex.org/W2072949187","https://openalex.org/W2096760585"],"abstract_inverted_index":{"We":[0,26,107],"apply":[1],"the":[2,7,40,63,85,93,123],"Hadamard":[3,80,124],"equivalence":[4,21,36],"to":[5,28,79,122],"all":[6],"binary":[8],"matrices":[9,81],"of":[10,19,34,42,44,57,84,88,90,100,110,118],"size":[11,45],"m":[12,46,50],"\u00d7":[13,47],"n":[14,48],"and":[15,23,38,55,114],"study":[16],"various":[17],"properties":[18,54],"this":[20],"relation":[22],"its":[24,67],"classes.":[25],"propose":[27],"use":[29],"HR-minimal":[30],"as":[31,72],"a":[32,98],"representative":[33],"each":[35],"class":[37],"count":[39],"number":[41],"HR-minimals":[43,58,61],"for":[49],"\u2264":[51],"3.":[52],"Some":[53],"constructions":[56],"are":[59,70,76],"investigated.":[60],"with":[62,103],"largest":[64],"weight":[65],"on":[66],"second":[68],"row":[69,101],"defined":[71],"Quasi-Hadamard":[73],"matrices,":[74],"which":[75,119],"very":[77],"similar":[78],"in":[82,92],"terms":[83],"absolute":[86],"correlations":[87],"pairs":[89],"rows,":[91],"sense":[94],"that":[95],"they":[96],"give":[97],"set":[99],"vectors":[102],"\u201cbest":[104],"possible":[105],"orthogonality.\u201d":[106],"report":[108],"lots":[109],"exhaustive":[111],"search":[112],"results":[113],"open":[115],"problems,":[116],"one":[117],"is":[120],"equivalent":[121],"conjecture.":[125]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
