{"id":"https://openalex.org/W2920805112","doi":"https://doi.org/10.23919/isita.2018.8664218","title":"Hadamard-type Matrices on Finite Fields and Their Applications to Sequence Generation","display_name":"Hadamard-type Matrices on Finite Fields and Their Applications to Sequence Generation","publication_year":2018,"publication_date":"2018-10-01","ids":{"openalex":"https://openalex.org/W2920805112","doi":"https://doi.org/10.23919/isita.2018.8664218","mag":"2920805112"},"language":"en","primary_location":{"id":"doi:10.23919/isita.2018.8664218","is_oa":false,"landing_page_url":"https://doi.org/10.23919/isita.2018.8664218","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 International Symposium on Information Theory and Its Applications (ISITA)","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/A5050865032","display_name":"Tetsuya Kojima","orcid":"https://orcid.org/0000-0001-6624-0662"},"institutions":[{"id":"https://openalex.org/I4210120810","display_name":"National Institute of Technology","ror":"https://ror.org/02xqkcw08","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210120810"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Tetsuya Kojima","raw_affiliation_strings":["Department of Computer Science, National Institute of Technology, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, National Institute of Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I4210120810"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050865032"],"corresponding_institution_ids":["https://openalex.org/I4210120810"],"apc_list":null,"apc_paid":null,"fwci":0.515,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.691662,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"481","last_page":"485"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9993000030517578,"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":0.9993000030517578,"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/T11130","display_name":"Coding theory and cryptography","score":0.9988999962806702,"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/T11873","display_name":"PAPR reduction in OFDM","score":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.7640005350112915},{"id":"https://openalex.org/keywords/hadamard-matrix","display_name":"Hadamard matrix","score":0.7603687047958374},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.707443356513977},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6986708641052246},{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.679397463798523},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5927708745002747},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5746612548828125},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5529732704162598},{"id":"https://openalex.org/keywords/complementary-sequences","display_name":"Complementary sequences","score":0.5445500016212463},{"id":"https://openalex.org/keywords/complex-hadamard-matrix","display_name":"Complex Hadamard matrix","score":0.5078728795051575},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4991905689239502},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.49840497970581055},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.47116169333457947},{"id":"https://openalex.org/keywords/row","display_name":"Row","score":0.45338451862335205},{"id":"https://openalex.org/keywords/ring-of-integers","display_name":"Ring of integers","score":0.41865792870521545},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.41829192638397217},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16168519854545593},{"id":"https://openalex.org/keywords/algebraic-number-field","display_name":"Algebraic number field","score":0.1325657069683075},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1165112555027008}],"concepts":[{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.7640005350112915},{"id":"https://openalex.org/C30463267","wikidata":"https://www.wikidata.org/wiki/Q1422682","display_name":"Hadamard matrix","level":3,"score":0.7603687047958374},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.707443356513977},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6986708641052246},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.679397463798523},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5927708745002747},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5746612548828125},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5529732704162598},{"id":"https://openalex.org/C32795469","wikidata":"https://www.wikidata.org/wiki/Q5156430","display_name":"Complementary sequences","level":2,"score":0.5445500016212463},{"id":"https://openalex.org/C6497535","wikidata":"https://www.wikidata.org/wiki/Q5156556","display_name":"Complex Hadamard matrix","level":4,"score":0.5078728795051575},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4991905689239502},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.49840497970581055},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.47116169333457947},{"id":"https://openalex.org/C135598885","wikidata":"https://www.wikidata.org/wiki/Q1366302","display_name":"Row","level":2,"score":0.45338451862335205},{"id":"https://openalex.org/C164810661","wikidata":"https://www.wikidata.org/wiki/Q1358313","display_name":"Ring of integers","level":3,"score":0.41865792870521545},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.41829192638397217},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16168519854545593},{"id":"https://openalex.org/C12657307","wikidata":"https://www.wikidata.org/wiki/Q616608","display_name":"Algebraic number field","level":2,"score":0.1325657069683075},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1165112555027008},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/isita.2018.8664218","is_oa":false,"landing_page_url":"https://doi.org/10.23919/isita.2018.8664218","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 International Symposium on Information Theory and Its Applications (ISITA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W401986301","https://openalex.org/W2034198076","https://openalex.org/W2038665190","https://openalex.org/W2097688198","https://openalex.org/W2144997668","https://openalex.org/W2333786694","https://openalex.org/W2537991178","https://openalex.org/W2599808747","https://openalex.org/W2725331059","https://openalex.org/W2902131147","https://openalex.org/W6756679327","https://openalex.org/W7036875108","https://openalex.org/W7066954520"],"related_works":["https://openalex.org/W1976224891","https://openalex.org/W2038981428","https://openalex.org/W2150280325","https://openalex.org/W1524793401","https://openalex.org/W2181440365","https://openalex.org/W2982171114","https://openalex.org/W2920805112","https://openalex.org/W3001629545","https://openalex.org/W2992707681","https://openalex.org/W2140013045"],"abstract_inverted_index":{"Hadamard":[0],"matrix":[1,7,31],"is":[2,38,48,83,106],"defined":[3],"as":[4],"a":[5,44,77,107],"square":[6],"where":[8,16,36,114],"any":[9,17],"components":[10],"are":[11,21],"-1":[12],"or":[13],"+1,":[14],"and":[15,66,97,128],"pairs":[18],"of":[19,50,109,117,122,137],"rows":[20],"mutually":[22],"orthogonal.":[23],"In":[24,42,74,85],"this":[25,75],"study,":[26],"we":[27],"consider":[28],"the":[29,51,87,90,115,120,129,134],"similar":[30],"on":[32,53,112,133],"finite":[33],"field":[34],"GF(p)":[35],"p":[37,61,138],"an":[39],"odd":[40],"prime.":[41],"such":[43,81],"matrix,":[45],"every":[46],"component":[47],"one":[49],"integers":[52],"GF(p)\\{0},":[54],"that":[55],"is,":[56],"{1,":[57],"2,":[58],"...":[59],",":[60],"-":[62,139],"1}.":[63],"Any":[64],"additions":[65],"multiplications":[67],"should":[68],"be":[69],"executed":[70],"under":[71],"modulo":[72],"p.":[73],"paper,":[76],"method":[78],"to":[79,92],"generate":[80,93],"matrices":[82],"proposed.":[84],"addition,":[86],"paper":[88],"includes":[89],"applications":[91],"n-shift":[94],"orthogonal":[95],"sequences":[96,111,123],"complete":[98,103,142],"complementary":[99,104,143],"codes.":[100],"The":[101],"generated":[102],"code":[105],"family":[108],"multivalued":[110],"GF(p),":[113],"number":[116,121],"sequence":[118,126,130],"sets,":[119],"in":[124,152],"each":[125],"set":[127],"length":[131],"depend":[132],"various":[135,146],"divisors":[136],"1.":[140],"Such":[141],"codes":[144],"with":[145],"parameters":[147],"have":[148],"not":[149],"been":[150],"proposed":[151],"previous":[153],"studies.":[154]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
