{"id":"https://openalex.org/W4251623387","doi":"https://doi.org/10.1109/isit.2004.1365522","title":"Bounds on distance distributions in codes of known size","display_name":"Bounds on distance distributions in codes of known size","publication_year":2004,"publication_date":"2004-12-23","ids":{"openalex":"https://openalex.org/W4251623387","doi":"https://doi.org/10.1109/isit.2004.1365522"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2004.1365522","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365522","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","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/A5072543875","display_name":"A. Ashikhmin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Ashikhmin","raw_affiliation_strings":["Bell Laboratories, Lucent Technologies, Inc., Murray Hill, NJ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bell Laboratories, Lucent Technologies, Inc., Murray Hill, NJ, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028564714","display_name":"G.D. Cohen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G.D. Cohen","raw_affiliation_strings":["D\u00e9partement Informatique et R\u00e9seaux, ENST, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement Informatique et R\u00e9seaux, ENST, Paris, France","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039119034","display_name":"M. Krivelevich","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"M. Krivelevich","raw_affiliation_strings":["Tel-Aviv University, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tel-Aviv University, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028716537","display_name":"S. Litsyn","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"S. Litsyn","raw_affiliation_strings":["Tel-Aviv University, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tel-Aviv University, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3391,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.69176171,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"485","last_page":"485"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9955000281333923,"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":0.9955000281333923,"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/T11130","display_name":"Coding theory and cryptography","score":0.9944000244140625,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9936000108718872,"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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.767197847366333},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.757693350315094},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6669362783432007},{"id":"https://openalex.org/keywords/minimum-distance","display_name":"Minimum distance","score":0.5092102289199829},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.46549734473228455},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.42731550335884094},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3972218930721283},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33291441202163696},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3291128873825073},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3106388449668884},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18301525712013245},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12496301531791687}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.767197847366333},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.757693350315094},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6669362783432007},{"id":"https://openalex.org/C3018063660","wikidata":"https://www.wikidata.org/wiki/Q6865448","display_name":"Minimum distance","level":2,"score":0.5092102289199829},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.46549734473228455},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.42731550335884094},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3972218930721283},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33291441202163696},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3291128873825073},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3106388449668884},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18301525712013245},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12496301531791687},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2004.1365522","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365522","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.47999998927116394,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2132137594","https://openalex.org/W2069783012","https://openalex.org/W2085967955","https://openalex.org/W4256335355","https://openalex.org/W3098612666","https://openalex.org/W1499116563","https://openalex.org/W2138867060","https://openalex.org/W2023859141","https://openalex.org/W2182290077","https://openalex.org/W3207033120"],"abstract_inverted_index":{"We":[0,52,91],"treat":[1],"the":[2,8,15,25,71,80,94,103,113,120],"problem":[3],"of":[4,7,12,17,70,88,119],"bounding":[5],"components":[6,38],"possible":[9],"distance":[10,36,62],"distributions":[11,63],"codes":[13],"given":[14,89],"knowledge":[16],"their":[18],"size":[19,122],"and":[20,50,123],"possibly":[21],"minimum":[22,124],"distance.":[23,125],"Using":[24],"Beckner":[26],"inequality":[27],"from":[28],"harmonic":[29],"analysis":[30],"we":[31,74],"derive":[32,58,98],"upper":[33,59,77,100],"bounds":[34,60,96],"on":[35,61,79,102,112],"distribution":[37],"which":[39],"are":[40],"sometimes":[41],"better":[42,99],"than":[43],"earlier":[44],"ones":[45],"due":[46],"to":[47,57,97],"Ashikhmin,":[48],"Barg":[49],"Litsyn.":[51],"use":[53,93],"an":[54,68,76,85],"alternative":[55],"approach":[56],"in":[64],"linear":[65],"codes.":[66],"As":[67],"application":[69],"suggested":[72],"estimates":[73,101],"get":[75],"bound":[78,111],"undetected":[81],"error":[82],"probability":[83],"for":[84],"arbitrary":[86],"code":[87],"size.":[90],"also":[92],"new":[95],"covering":[104],"radius,":[105],"as":[106,108,116],"well":[107],"a":[109,117],"lower":[110],"error-probability":[114],"threshold,":[115],"function":[118],"code's":[121]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
