{"id":"https://openalex.org/W2051925074","doi":"https://doi.org/10.1109/isit.2013.6620352","title":"Rank spectrum of propelinear perfect binary codes","display_name":"Rank spectrum of propelinear perfect binary codes","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2051925074","doi":"https://doi.org/10.1109/isit.2013.6620352","mag":"2051925074"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2013.6620352","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620352","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 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/A5063642372","display_name":"George K. Guskov","orcid":null},"institutions":[{"id":"https://openalex.org/I4210096862","display_name":"Sobolev Institute of Mathematics","ror":"https://ror.org/00shc0s02","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210096862","https://openalex.org/I4210124601","https://openalex.org/I4210127387"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"George K. Guskov","raw_affiliation_strings":["Sobolev Institute of Mathematics, Novosibirsk, Russia","Sobolev Inst. of Math., Novosibirsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sobolev Institute of Mathematics, Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210096862"]},{"raw_affiliation_string":"Sobolev Inst. of Math., Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210096862"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034305800","display_name":"I. Yu. Mogilnykh","orcid":"https://orcid.org/0000-0003-3770-8523"},"institutions":[{"id":"https://openalex.org/I188973947","display_name":"Novosibirsk State University","ror":"https://ror.org/04t2ss102","country_code":"RU","type":"education","lineage":["https://openalex.org/I188973947"]},{"id":"https://openalex.org/I4210096862","display_name":"Sobolev Institute of Mathematics","ror":"https://ror.org/00shc0s02","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210096862","https://openalex.org/I4210124601","https://openalex.org/I4210127387"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Ivan Yu. Mogilnykh","raw_affiliation_strings":["Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russia","Sobolev Inst. of Math., Novosibirsk State Univ., Novosibirsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210096862","https://openalex.org/I188973947"]},{"raw_affiliation_string":"Sobolev Inst. of Math., Novosibirsk State Univ., Novosibirsk, Russia","institution_ids":["https://openalex.org/I188973947"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048460478","display_name":"F. I. Solov\u2019eva","orcid":null},"institutions":[{"id":"https://openalex.org/I188973947","display_name":"Novosibirsk State University","ror":"https://ror.org/04t2ss102","country_code":"RU","type":"education","lineage":["https://openalex.org/I188973947"]},{"id":"https://openalex.org/I4210096862","display_name":"Sobolev Institute of Mathematics","ror":"https://ror.org/00shc0s02","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210096862","https://openalex.org/I4210124601","https://openalex.org/I4210127387"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Faina I. Solov'eva","raw_affiliation_strings":["Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russia","Sobolev Inst. of Math., Novosibirsk State Univ., Novosibirsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210096862","https://openalex.org/I188973947"]},{"raw_affiliation_string":"Sobolev Inst. of Math., Novosibirsk State Univ., Novosibirsk, Russia","institution_ids":["https://openalex.org/I188973947"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09282977,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":null,"first_page":"879","last_page":"881"},"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":0.9998999834060669,"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/T10849","display_name":"Finite Group Theory Research","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/combinatorics","display_name":"Combinatorics","score":0.6946331262588501},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6638238430023193},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.6578018665313721},{"id":"https://openalex.org/keywords/binary-code","display_name":"Binary code","score":0.6482127904891968},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6321730613708496},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.5783346891403198},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4747196435928345},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4494558870792389},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2656938433647156},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2434922158718109},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.19840461015701294},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.05781620740890503}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6946331262588501},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6638238430023193},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.6578018665313721},{"id":"https://openalex.org/C63435697","wikidata":"https://www.wikidata.org/wiki/Q864135","display_name":"Binary code","level":3,"score":0.6482127904891968},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6321730613708496},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.5783346891403198},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4747196435928345},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4494558870792389},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2656938433647156},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2434922158718109},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.19840461015701294},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.05781620740890503},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2013.6620352","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620352","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 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":15,"referenced_works":["https://openalex.org/W1489947410","https://openalex.org/W1635199421","https://openalex.org/W1924885228","https://openalex.org/W1966494597","https://openalex.org/W1976677460","https://openalex.org/W1978092368","https://openalex.org/W1998811014","https://openalex.org/W2013910650","https://openalex.org/W2063978283","https://openalex.org/W2064117721","https://openalex.org/W2084383186","https://openalex.org/W2117013900","https://openalex.org/W2118297173","https://openalex.org/W2150911857","https://openalex.org/W2166966427"],"related_works":["https://openalex.org/W2134880816","https://openalex.org/W2111298487","https://openalex.org/W2055498716","https://openalex.org/W1984130439","https://openalex.org/W4386075138","https://openalex.org/W3016499519","https://openalex.org/W2371359060","https://openalex.org/W2562873141","https://openalex.org/W2279238589","https://openalex.org/W2510680828"],"abstract_inverted_index":{"It":[0],"is":[1],"known":[2],"[4]":[3],"that":[4,22,46],"for":[5],"any":[6],"numbers":[7],"n":[8,23,31,40,59,64,71],"=":[9,60,62,65,72,74],"2":[10],"<sup":[11],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[12],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">m</sup>":[13],"-":[14,24],"1,":[15],"m":[16],"\u2265":[17],"4":[18],"and":[19,41,70],"r,":[20],"such":[21,51],"log(n":[25],"+":[26],"1)":[27],"\u2264":[28,30],"r":[29,61,67,73],"there":[32,47],"exists":[33,48],"a":[34,49],"perfect":[35],"binary":[36],"code":[37,52],"of":[38,53],"length":[39,54],"rank":[42],"r.":[43],"We":[44],"show":[45],"propelinear":[50],"n,":[55],"excluding,":[56],"may":[57],"be,":[58],"63,":[63],"127,":[66],"\u03f5":[68],"{126,127}":[69],"2047.":[75]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}