{"id":"https://openalex.org/W2122308665","doi":"https://doi.org/10.1109/isit.2010.5513692","title":"Bounds on codes with few distances","display_name":"Bounds on codes with few distances","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2122308665","doi":"https://doi.org/10.1109/isit.2010.5513692","mag":"2122308665"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2010.5513692","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513692","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 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/A5004622357","display_name":"Alexander Barg","orcid":"https://orcid.org/0000-0002-8972-4413"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]},{"id":"https://openalex.org/I4210107660","display_name":"Institute for Information Transmission Problems","ror":"https://ror.org/013w2d378","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210097085","https://openalex.org/I4210107660"]}],"countries":["RU","US"],"is_corresponding":true,"raw_author_name":"Alexander Barg","raw_affiliation_strings":["Department of ECE and Institute for Systems Research, University of Maryland, College Park, MD, USA","Dobrushin Mathematical Laboratory, Institute for Problems of Information Transmission, Russian Academy of Science, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Department of ECE and Institute for Systems Research, University of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Dobrushin Mathematical Laboratory, Institute for Problems of Information Transmission, Russian Academy of Science, Moscow, Russia","institution_ids":["https://openalex.org/I4210107660"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077347619","display_name":"Oleg R. Musin","orcid":"https://orcid.org/0000-0002-5946-4841"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Oleg R. Musin","raw_affiliation_strings":["Department of Mathematics, University of Technology, Brownsville, TX, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Technology, Brownsville, TX, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004622357"],"corresponding_institution_ids":["https://openalex.org/I4210107660","https://openalex.org/I66946132"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13804161,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":null,"first_page":"1115","last_page":"1119"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9968000054359436,"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":0.9968000054359436,"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":0.9925000071525574,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9886000156402588,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/hamming-space","display_name":"Hamming space","score":0.8710007071495056},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.7661325335502625},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.7303142547607422},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6974133253097534},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6448760032653809},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6213418841362},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5921049118041992},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5492947697639465},{"id":"https://openalex.org/keywords/hamming","display_name":"Hamming(7,4)","score":0.5429380536079407},{"id":"https://openalex.org/keywords/hamming-weight","display_name":"Hamming weight","score":0.5318104028701782},{"id":"https://openalex.org/keywords/hamming-bound","display_name":"Hamming bound","score":0.523625910282135},{"id":"https://openalex.org/keywords/binary-code","display_name":"Binary code","score":0.48999419808387756},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4677826166152954},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.3671083152294159},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23901906609535217},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17015084624290466},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.11177623271942139},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08495104312896729},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.08410334587097168}],"concepts":[{"id":"https://openalex.org/C2779494224","wikidata":"https://www.wikidata.org/wiki/Q5645799","display_name":"Hamming space","level":5,"score":0.8710007071495056},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.7661325335502625},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.7303142547607422},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6974133253097534},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6448760032653809},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6213418841362},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5921049118041992},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5492947697639465},{"id":"https://openalex.org/C112932734","wikidata":"https://www.wikidata.org/wiki/Q2322550","display_name":"Hamming(7,4)","level":5,"score":0.5429380536079407},{"id":"https://openalex.org/C63361517","wikidata":"https://www.wikidata.org/wiki/Q5645805","display_name":"Hamming weight","level":5,"score":0.5318104028701782},{"id":"https://openalex.org/C166530166","wikidata":"https://www.wikidata.org/wiki/Q1970635","display_name":"Hamming bound","level":5,"score":0.523625910282135},{"id":"https://openalex.org/C63435697","wikidata":"https://www.wikidata.org/wiki/Q864135","display_name":"Binary code","level":3,"score":0.48999419808387756},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4677826166152954},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.3671083152294159},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23901906609535217},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17015084624290466},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.11177623271942139},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08495104312896729},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.08410334587097168},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2010.5513692","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513692","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 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":16,"referenced_works":["https://openalex.org/W109405981","https://openalex.org/W1630181038","https://openalex.org/W1898703922","https://openalex.org/W1986908956","https://openalex.org/W1996198376","https://openalex.org/W2019935404","https://openalex.org/W2021036646","https://openalex.org/W2033633322","https://openalex.org/W2038645106","https://openalex.org/W2046196968","https://openalex.org/W2067544741","https://openalex.org/W2091239462","https://openalex.org/W2130062294","https://openalex.org/W2157866440","https://openalex.org/W2584020404","https://openalex.org/W6604469142"],"related_works":["https://openalex.org/W2168583610","https://openalex.org/W2106912783","https://openalex.org/W2170314267","https://openalex.org/W2991691693","https://openalex.org/W1519122282","https://openalex.org/W2158117886","https://openalex.org/W2182731056","https://openalex.org/W3156999759","https://openalex.org/W2105734423","https://openalex.org/W2953192649"],"abstract_inverted_index":{"We":[0,24],"prove":[1],"a":[2],"new":[3],"bound":[4,29,43],"on":[5,46],"the":[6,14,27,31,42,47,59],"size":[7,32,49,60],"of":[8,21,30,33,37,44,50,61,69],"codes":[9,52,64,68],"with":[10,53,72],"few":[11,54],"distances":[12],"in":[13],"Hamming":[15],"space,":[16],"improving":[17],"an":[18],"earlier":[19],"result":[20],"P.":[22],"Delsarte.":[23],"also":[25],"improve":[26],"Ray-Chaudhuri-Wilson":[28],"uniform":[34],"intersecting":[35],"families":[36],"subsets":[38],"(constant-weight":[39],"codes)":[40],"and":[41,65,74],"Delsarte-Goethals-Seidel":[45],"maximum":[48],"spherical":[51],"distances.":[55,76],"Finally,":[56],"we":[57],"find":[58],"maximal":[62,66],"binary":[63],"constant-weight":[67],"small":[70],"length":[71],"2,3,":[73],"4":[75]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
