{"id":"https://openalex.org/W1776230042","doi":"https://doi.org/10.1109/isit.2015.7282987","title":"Almost cover-free codes and designs","display_name":"Almost cover-free codes and designs","publication_year":2015,"publication_date":"2015-06-01","ids":{"openalex":"https://openalex.org/W1776230042","doi":"https://doi.org/10.1109/isit.2015.7282987","mag":"1776230042"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2015.7282987","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282987","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","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/A5044988387","display_name":"A.G. D'yachkov","orcid":null},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"A. G. D'yachkov","raw_affiliation_strings":["Lomonosov Moscow State University, Moscow, Russia","Lomonosov Moscow State University , Russia "],"affiliations":[{"raw_affiliation_string":"Lomonosov Moscow State University, Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Lomonosov Moscow State University , Russia ","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079207347","display_name":"Ilya Vorobyev","orcid":"https://orcid.org/0000-0002-9270-7040"},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"I.V. Vorobyev","raw_affiliation_strings":["Lomonosov Moscow State University, Moscow, Russia","Lomonosov Moscow State University , Russia "],"affiliations":[{"raw_affiliation_string":"Lomonosov Moscow State University, Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Lomonosov Moscow State University , Russia ","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011128858","display_name":"Nikita Polyanskii","orcid":"https://orcid.org/0000-0003-3735-5705"},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"N.A. Polyanskii","raw_affiliation_strings":["Lomonosov Moscow State University, Moscow, Russia","Lomonosov Moscow State University , Russia "],"affiliations":[{"raw_affiliation_string":"Lomonosov Moscow State University, Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Lomonosov Moscow State University , Russia ","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071073513","display_name":"V. Yu. Shchukin","orcid":"https://orcid.org/0000-0003-0458-0973"},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"V.Yu. Shchukin","raw_affiliation_strings":["Lomonosov Moscow State University, Moscow, Russia","Lomonosov Moscow State University , Russia "],"affiliations":[{"raw_affiliation_string":"Lomonosov Moscow State University, Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Lomonosov Moscow State University , Russia ","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5044988387"],"corresponding_institution_ids":["https://openalex.org/I19880235"],"apc_list":null,"apc_paid":null,"fwci":0.3946,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.65723706,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"2899","last_page":"2903"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9991000294685364,"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":0.9991000294685364,"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/T12029","display_name":"DNA and Biological Computing","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9980000257492065,"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/binary-code","display_name":"Binary code","score":0.6103237271308899},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5676670074462891},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5660909414291382},{"id":"https://openalex.org/keywords/prefix-code","display_name":"Prefix code","score":0.5636573433876038},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.5274108648300171},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5239558219909668},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5082935690879822},{"id":"https://openalex.org/keywords/constant-weight-code","display_name":"Constant-weight code","score":0.505582332611084},{"id":"https://openalex.org/keywords/reed\u2013muller-code","display_name":"Reed\u2013Muller code","score":0.49170953035354614},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4892153739929199},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.45357123017311096},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.4424821734428406},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.44201239943504333},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.42783835530281067},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34294235706329346},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2441813051700592},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.2336028516292572},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1664351522922516},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.08537676930427551},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0690447986125946}],"concepts":[{"id":"https://openalex.org/C63435697","wikidata":"https://www.wikidata.org/wiki/Q864135","display_name":"Binary code","level":3,"score":0.6103237271308899},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5676670074462891},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5660909414291382},{"id":"https://openalex.org/C20079647","wikidata":"https://www.wikidata.org/wiki/Q1278039","display_name":"Prefix code","level":5,"score":0.5636573433876038},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.5274108648300171},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5239558219909668},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5082935690879822},{"id":"https://openalex.org/C197242373","wikidata":"https://www.wikidata.org/wiki/Q5163613","display_name":"Constant-weight code","level":5,"score":0.505582332611084},{"id":"https://openalex.org/C169021753","wikidata":"https://www.wikidata.org/wiki/Q201972","display_name":"Reed\u2013Muller code","level":5,"score":0.49170953035354614},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4892153739929199},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.45357123017311096},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.4424821734428406},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.44201239943504333},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.42783835530281067},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34294235706329346},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2441813051700592},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.2336028516292572},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1664351522922516},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.08537676930427551},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0690447986125946},{"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"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:10.1109/isit.2015.7282987","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282987","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.4300000071525574,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W428388907","https://openalex.org/W1549664537","https://openalex.org/W1600887176","https://openalex.org/W1968160142","https://openalex.org/W1979260265","https://openalex.org/W2009085022","https://openalex.org/W2017825268","https://openalex.org/W2019294877","https://openalex.org/W2035894387","https://openalex.org/W2053493713","https://openalex.org/W2088379485","https://openalex.org/W2122398547","https://openalex.org/W2142901448","https://openalex.org/W2254512934","https://openalex.org/W2399277526","https://openalex.org/W2597388719","https://openalex.org/W2764053949","https://openalex.org/W3101529480","https://openalex.org/W6633073622"],"related_works":["https://openalex.org/W2034795477","https://openalex.org/W2604406343","https://openalex.org/W1970298699","https://openalex.org/W2183278822","https://openalex.org/W2031881996","https://openalex.org/W2354277530","https://openalex.org/W2963696079","https://openalex.org/W4302364421","https://openalex.org/W1776230042","https://openalex.org/W1996227932"],"abstract_inverted_index":{"An":[0],"s-subset":[1,48],"of":[2,4,24,32,42,49,51,91,113,132,144],"codewords":[3,27,35,50],"a":[5,22,67,87,96,124],"binary":[6,60,97,133],"code":[7,19,61,74,98],"X":[8,16,20,52,62,75,99],"is":[9,36,53,63,100,118,159],"said":[10,64,101],"to":[11,65,102,120,137],"be":[12,66,103],"(s,":[13,55,70,79,93,107,115,157,168],"\u2113)-bad":[14,80],"in":[15,57],"if":[17,72,109],"the":[18,30,33,39,43,47,73,110,130,142,152,163],"contains":[21],"subset":[23],"other":[25],"\u2113":[26,34],"such":[28,145],"that":[29,151],"conjunction":[31],"covered":[37],"by":[38],"disjunctive":[40],"sum":[41],"s":[44],"codewords.":[45],"Otherwise,":[46],"called":[54],"\u2113)-good":[56,116],"X.":[58],"A":[59],"cover-free":[68],"(CF)":[69],"\u2113)-code":[71,108],"does":[76],"not":[77],"contain":[78],"subsets.":[81],"In":[82],"this":[83],"paper,":[84],"we":[85],"introduce":[86],"natural":[88],"probabilistic":[89],"generalization":[90],"CF":[92,106,156,167],"\u2113)-codes,":[94],"namely:":[95],"an":[104],"almost":[105,155],"relative":[111],"number":[112],"its":[114],"s-subsets":[117],"close":[119],"1.":[121],"We":[122],"develop":[123],"random":[125],"coding":[126],"method":[127],"based":[128],"on":[129,141],"ensemble":[131],"constant":[134],"weight":[135],"codes":[136],"obtain":[138],"lower":[139],"bounds":[140],"capacity":[143,153],"codes.":[146],"Our":[147],"main":[148],"result":[149],"shows":[150],"for":[154,165],"\u2113)-codes":[158],"essentially":[160],"greater":[161],"than":[162],"rate":[164],"ordinary":[166],"\u2113)-codes.":[169]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}