{"id":"https://openalex.org/W2082803154","doi":"https://doi.org/10.1137/s0895480196312206","title":"Nonsystematic perfect codes","display_name":"Nonsystematic perfect codes","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2082803154","doi":"https://doi.org/10.1137/s0895480196312206","mag":"2082803154"},"language":"en","primary_location":{"id":"doi:10.1137/s0895480196312206","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480196312206","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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/A5069038206","display_name":"Kevin T. Phelps","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Kevin T. Phelps","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5072905687","display_name":"Mike LeVan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mike LeVan","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5069038206"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5293,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.85478952,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"12","issue":"1","first_page":"27","last_page":"34"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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/T11130","display_name":"Coding theory and cryptography","score":1.0,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9998000264167786,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9959999918937683,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7921756505966187},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5777329206466675},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5514730215072632},{"id":"https://openalex.org/keywords/binary-code","display_name":"Binary code","score":0.517983078956604},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.511482834815979},{"id":"https://openalex.org/keywords/coding-theory","display_name":"Coding theory","score":0.4447100758552551},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4199938476085663},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.416686087846756},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11861449480056763},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.10843318700790405}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7921756505966187},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5777329206466675},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5514730215072632},{"id":"https://openalex.org/C63435697","wikidata":"https://www.wikidata.org/wiki/Q864135","display_name":"Binary code","level":3,"score":0.517983078956604},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.511482834815979},{"id":"https://openalex.org/C113709454","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Coding theory","level":2,"score":0.4447100758552551},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4199938476085663},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.416686087846756},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11861449480056763},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.10843318700790405},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0895480196312206","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480196312206","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W2160658340","https://openalex.org/W2166966427","https://openalex.org/W2745281314"],"related_works":["https://openalex.org/W2019915549","https://openalex.org/W2134880816","https://openalex.org/W2111298487","https://openalex.org/W3099676387","https://openalex.org/W4308157887","https://openalex.org/W1996787397","https://openalex.org/W2055498716","https://openalex.org/W2014463444","https://openalex.org/W2510680828","https://openalex.org/W4386075138"],"abstract_inverted_index":{"We":[0,59],"investigate":[1],"nonsystematic":[2,11,69],"perfect":[3,12,70],"binary":[4],"codes":[5,13,55,71],"of":[6,14,29,53,64,68,72],"length":[7,15,73],"n,":[8],"establishing":[9],"that":[10],"n":[16],"exist":[17],"for":[18,56],"all":[19],"admissible":[20],"$n":[21],"\\geq":[22],"15$.":[23],"This":[24],"improves":[25],"on":[26],"the":[27,51,62],"result":[28],"Avgustinovich":[30],"and":[31,39],"Solov'eva":[32],"[":[33],"Proc.":[34],"5th":[35],"Internat.":[36],"Workshop":[37],"Algebraic":[38],"Combinatorial":[40],"Coding":[41],"Theory,":[42],"Cosopol,":[43],"Bulgaria,":[44],"1996,":[45],"pp.":[46],"15--19]":[47],"who":[48],"have":[49],"established":[50],"existence":[52],"such":[54],"$n\\geq":[57],"255$.":[58],"also":[60],"provide":[61],"results":[63],"a":[65],"computer":[66],"investigation":[67],"15.":[74]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}