{"id":"https://openalex.org/W2131978145","doi":"https://doi.org/10.1109/ismvl.2002.1011074","title":"Comparison of different features of quaternary Reed-Muller canonical forms and some new statistical results","display_name":"Comparison of different features of quaternary Reed-Muller canonical forms and some new statistical results","publication_year":2003,"publication_date":"2003-06-25","ids":{"openalex":"https://openalex.org/W2131978145","doi":"https://doi.org/10.1109/ismvl.2002.1011074","mag":"2131978145"},"language":"en","primary_location":{"id":"doi:10.1109/ismvl.2002.1011074","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ismvl.2002.1011074","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings 32nd IEEE International Symposium on Multiple- Valued Logic","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/A5103352994","display_name":"K.J. Adams","orcid":null},"institutions":[{"id":"https://openalex.org/I138801177","display_name":"University of Ulster","ror":"https://ror.org/01yp9g959","country_code":"GB","type":"education","lineage":["https://openalex.org/I138801177"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"K.J. Adams","raw_affiliation_strings":["Faculty of Informatics, University of Ulster, Londonderry, UK","Fac. of Inf., Ulster Univ., Londonderry, UK"],"affiliations":[{"raw_affiliation_string":"Faculty of Informatics, University of Ulster, Londonderry, UK","institution_ids":["https://openalex.org/I138801177"]},{"raw_affiliation_string":"Fac. of Inf., Ulster Univ., Londonderry, UK","institution_ids":["https://openalex.org/I138801177"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029982665","display_name":"James McGregor","orcid":"https://orcid.org/0000-0001-6813-306X"},"institutions":[{"id":"https://openalex.org/I138801177","display_name":"University of Ulster","ror":"https://ror.org/01yp9g959","country_code":"GB","type":"education","lineage":["https://openalex.org/I138801177"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"J. McGregor","raw_affiliation_strings":["Faculty of Informatics, University of Ulster, Londonderry, UK","Fac. of Inf., Ulster Univ., Londonderry, UK"],"affiliations":[{"raw_affiliation_string":"Faculty of Informatics, University of Ulster, Londonderry, UK","institution_ids":["https://openalex.org/I138801177"]},{"raw_affiliation_string":"Fac. of Inf., Ulster Univ., Londonderry, UK","institution_ids":["https://openalex.org/I138801177"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103352994"],"corresponding_institution_ids":["https://openalex.org/I138801177"],"apc_list":null,"apc_paid":null,"fwci":1.3708,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.85242775,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"c 24","issue":null,"first_page":"83","last_page":"88"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9919000267982483,"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9919000267982483,"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/T10904","display_name":"Embedded Systems Design Techniques","score":0.9876999855041504,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9771000146865845,"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/multiplication","display_name":"Multiplication (music)","score":0.6526931524276733},{"id":"https://openalex.org/keywords/realisation","display_name":"Realisation","score":0.6425106525421143},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5644447803497314},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5577138066291809},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.54952472448349},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5469385385513306},{"id":"https://openalex.org/keywords/polarity","display_name":"Polarity (international relations)","score":0.5119398832321167},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5063501596450806},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.48616287112236023},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4575490355491638},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3740944266319275},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3688807189464569},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.30268409848213196},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1802671253681183}],"concepts":[{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.6526931524276733},{"id":"https://openalex.org/C2779462738","wikidata":"https://www.wikidata.org/wiki/Q17146409","display_name":"Realisation","level":2,"score":0.6425106525421143},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5644447803497314},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5577138066291809},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.54952472448349},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5469385385513306},{"id":"https://openalex.org/C2777361361","wikidata":"https://www.wikidata.org/wiki/Q1112585","display_name":"Polarity (international relations)","level":3,"score":0.5119398832321167},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5063501596450806},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.48616287112236023},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4575490355491638},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3740944266319275},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3688807189464569},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30268409848213196},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1802671253681183},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C1491633281","wikidata":"https://www.wikidata.org/wiki/Q7868","display_name":"Cell","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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:10.1109/ismvl.2002.1011074","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ismvl.2002.1011074","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings 32nd IEEE International Symposium on Multiple- Valued Logic","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":12,"referenced_works":["https://openalex.org/W1498138768","https://openalex.org/W1834643356","https://openalex.org/W1843398406","https://openalex.org/W2000090444","https://openalex.org/W2004229705","https://openalex.org/W2031676412","https://openalex.org/W2055696728","https://openalex.org/W2104265911","https://openalex.org/W2121417875","https://openalex.org/W2132291329","https://openalex.org/W2151770327","https://openalex.org/W2155813482"],"related_works":["https://openalex.org/W2961288924","https://openalex.org/W2810895613","https://openalex.org/W2075250579","https://openalex.org/W2789329261","https://openalex.org/W2538215832","https://openalex.org/W2057797376","https://openalex.org/W2090319426","https://openalex.org/W2506252583","https://openalex.org/W2048249848","https://openalex.org/W2067758538"],"abstract_inverted_index":{"An":[0],"integrated":[1],"set":[2,46],"of":[3,47,60,66,81,93],"utility":[4],"programs":[5],"in":[6,17,84],"C":[7],"is":[8,51],"presented.":[9],"These":[10],"can":[11],"be":[12,89],"used":[13,52],"to":[14,53,88],"perform":[15],"calculations":[16],"any":[18,44],"quaternary":[19,37],"Reed-Muller":[20],"algebra":[21],"by":[22],"entering":[23],"addition":[24],"and":[25,28,71],"multiplication":[26],"tables,":[27],"the":[29,57,79],"zero-polarity":[30],"transform":[31],"matrix.":[32],"For":[33],"every":[34],"completely":[35],"specified":[36],"function,":[38],"canonical":[39],"forms":[40],"are":[41,72],"generated":[42,70],"for":[43],"pre-selected":[45],"polarities.":[48],"A":[49,64],"laboratory":[50],"generate":[54],"statistics":[55,68],"comparing":[56],"realisation":[58],"efficiency":[59],"five":[61],"different":[62],"algebras.":[63],"number":[65,80],"optimisation":[67],"were":[69],"discussed,":[73],"and,":[74],"based":[75],"on":[76],"our":[77],"experiments,":[78],"non-zero":[82],"coefficients":[83],"a":[85,90],"representation":[86],"seems":[87],"reasonable":[91],"measure":[92],"complexity.":[94]},"counts_by_year":[{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}