{"id":"https://openalex.org/W2034530301","doi":"https://doi.org/10.1142/s0218126607003459","title":"TERNARY RECURSIVE FAST TRANSFORMS","display_name":"TERNARY RECURSIVE FAST TRANSFORMS","publication_year":2007,"publication_date":"2007-04-01","ids":{"openalex":"https://openalex.org/W2034530301","doi":"https://doi.org/10.1142/s0218126607003459","mag":"2034530301"},"language":"en","primary_location":{"id":"doi:10.1142/s0218126607003459","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218126607003459","pdf_url":null,"source":{"id":"https://openalex.org/S167602672","display_name":"Journal of Circuits Systems and Computers","issn_l":"0218-1266","issn":["0218-1266","1793-6454"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Circuits, Systems and Computers","raw_type":"journal-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/A5101780628","display_name":"Cheng Fu","orcid":"https://orcid.org/0000-0002-1280-2057"},"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":true,"raw_author_name":"CHENG FU","raw_affiliation_strings":["Intelligent Systems Centre, Nanyang Technological University, Research Techno Plaza, 7th Storey, 50 Nanyang Drive, Singapore 637553, Singapore"],"affiliations":[{"raw_affiliation_string":"Intelligent Systems Centre, Nanyang Technological University, Research Techno Plaza, 7th Storey, 50 Nanyang Drive, Singapore 637553, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016478346","display_name":"B.J. Falkowski","orcid":null},"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":"BOGDAN J. FALKOWSKI","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, Block S1, Singapore 639798, Singapore"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, Block S1, Singapore 639798, Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101780628"],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.09973575,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"16","issue":"02","first_page":"155","last_page":"168"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9912999868392944,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9894999861717224,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/ternary-operation","display_name":"Ternary operation","score":0.7570300102233887},{"id":"https://openalex.org/keywords/kronecker-delta","display_name":"Kronecker delta","score":0.655552864074707},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5295339822769165},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47279661893844604},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45335283875465393},{"id":"https://openalex.org/keywords/kronecker-product","display_name":"Kronecker product","score":0.43472447991371155},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40466803312301636},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.37420719861984253},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.36738020181655884},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33009636402130127},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16116365790367126},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.060711055994033813}],"concepts":[{"id":"https://openalex.org/C64452783","wikidata":"https://www.wikidata.org/wiki/Q1524945","display_name":"Ternary operation","level":2,"score":0.7570300102233887},{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.655552864074707},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5295339822769165},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47279661893844604},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45335283875465393},{"id":"https://openalex.org/C46030957","wikidata":"https://www.wikidata.org/wiki/Q1238125","display_name":"Kronecker product","level":3,"score":0.43472447991371155},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40466803312301636},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37420719861984253},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.36738020181655884},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33009636402130127},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16116365790367126},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.060711055994033813},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218126607003459","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218126607003459","pdf_url":null,"source":{"id":"https://openalex.org/S167602672","display_name":"Journal of Circuits Systems and Computers","issn_l":"0218-1266","issn":["0218-1266","1793-6454"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Circuits, Systems and Computers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1481714151","https://openalex.org/W1494035541","https://openalex.org/W1498138768","https://openalex.org/W2115889005","https://openalex.org/W2119617508","https://openalex.org/W2152571090","https://openalex.org/W2154206774","https://openalex.org/W2251602522","https://openalex.org/W4248793972"],"related_works":["https://openalex.org/W123417539","https://openalex.org/W2079407403","https://openalex.org/W2060299328","https://openalex.org/W2117336295","https://openalex.org/W4375957393","https://openalex.org/W4233239985","https://openalex.org/W3102722572","https://openalex.org/W2090103374","https://openalex.org/W577870507","https://openalex.org/W2073634779"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"two":[3],"new":[4,42],"classes":[5,40],"of":[6,41],"recursive":[7,17],"fast":[8,28],"transforms":[9,29,43,50],"over":[10],"GF":[11],"(3).":[12],"They":[13],"are":[14,55],"based":[15],"on":[16],"equations":[18],"using":[19],"Kronecker":[20],"products":[21],"that":[22],"allows":[23],"to":[24,37],"obtain":[25],"simple":[26],"corresponding":[27],"and":[30,44],"regular":[31],"butterfly":[32],"diagrams.":[33],"The":[34],"computational":[35],"costs":[36],"calculate":[38],"both":[39],"the":[45],"experimental":[46],"results":[47],"comparing":[48],"introduced":[49],"with":[51],"ternary":[52],"Reed\u2013Muller":[53],"transform":[54],"also":[56],"presented.":[57]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}