{"id":"https://openalex.org/W2106423098","doi":"https://doi.org/10.1007/s10623-006-9015-8","title":"Improved lower bounds on sizes of single-error correcting codes","display_name":"Improved lower bounds on sizes of single-error correcting codes","publication_year":2006,"publication_date":"2006-10-31","ids":{"openalex":"https://openalex.org/W2106423098","doi":"https://doi.org/10.1007/s10623-006-9015-8","mag":"2106423098"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-006-9015-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-006-9015-8","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ir.cwi.nl/pub/11830/11830D.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044662173","display_name":"Simon 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":"Simon Litsyn","raw_affiliation_strings":["Department of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel","Department of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Department of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel#TAB#","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049021714","display_name":"Beniamin Mounits","orcid":null},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832","https://openalex.org/I4405262988"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Beniamin Mounits","raw_affiliation_strings":["CWI, Amsterdam, The Netherlands","CWI, Amsterdam, The Netherlands#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CWI, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I1341640284"]},{"raw_affiliation_string":"CWI, Amsterdam, The Netherlands#TAB#","institution_ids":["https://openalex.org/I1341640284"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.12179939,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"42","issue":"1","first_page":"67","last_page":"72"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9945999979972839,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9932000041007996,"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/concatenation","display_name":"Concatenation (mathematics)","score":0.817997932434082},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.7344323396682739},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.5722218751907349},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5350798964500427},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.5268551111221313},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5109197497367859},{"id":"https://openalex.org/keywords/hamming-bound","display_name":"Hamming bound","score":0.4585111141204834},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.4401094615459442},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4334821105003357},{"id":"https://openalex.org/keywords/minimum-distance","display_name":"Minimum distance","score":0.4156871438026428},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4043533205986023},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.402559757232666},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3833712041378021},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1931007206439972},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.14702609181404114}],"concepts":[{"id":"https://openalex.org/C87619178","wikidata":"https://www.wikidata.org/wiki/Q126002","display_name":"Concatenation (mathematics)","level":2,"score":0.817997932434082},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.7344323396682739},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.5722218751907349},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5350798964500427},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.5268551111221313},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5109197497367859},{"id":"https://openalex.org/C166530166","wikidata":"https://www.wikidata.org/wiki/Q1970635","display_name":"Hamming bound","level":5,"score":0.4585111141204834},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.4401094615459442},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4334821105003357},{"id":"https://openalex.org/C3018063660","wikidata":"https://www.wikidata.org/wiki/Q6865448","display_name":"Minimum distance","level":2,"score":0.4156871438026428},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4043533205986023},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.402559757232666},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3833712041378021},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1931007206439972},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.14702609181404114}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10623-006-9015-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-006-9015-8","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"},{"id":"pmh:oai:cwi.nl:11830","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/11830","pdf_url":"https://ir.cwi.nl/pub/11830/11830D.pdf","source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Designs, Codes and Cryptography vol. 42 no. 1, pp. 67-72","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:cwi.nl:11830","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/11830","pdf_url":"https://ir.cwi.nl/pub/11830/11830D.pdf","source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Designs, Codes and Cryptography vol. 42 no. 1, pp. 67-72","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2106423098.pdf","grobid_xml":"https://content.openalex.org/works/W2106423098.grobid-xml"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W1556443961","https://openalex.org/W1606480398","https://openalex.org/W2055928358","https://openalex.org/W2109922729","https://openalex.org/W2148917328"],"related_works":["https://openalex.org/W2371167013","https://openalex.org/W4302771537","https://openalex.org/W1964096323","https://openalex.org/W2951416090","https://openalex.org/W2562336992","https://openalex.org/W2058919686","https://openalex.org/W2364890299","https://openalex.org/W4285078748","https://openalex.org/W2125977161","https://openalex.org/W2050371452"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}