{"id":"https://openalex.org/W2787391186","doi":"https://doi.org/10.1109/itw.2017.8277923","title":"Distance spectrum formula for the largest minimum hamming distance of finite-length binary block codes","display_name":"Distance spectrum formula for the largest minimum hamming distance of finite-length binary block codes","publication_year":2017,"publication_date":"2017-11-01","ids":{"openalex":"https://openalex.org/W2787391186","doi":"https://doi.org/10.1109/itw.2017.8277923","mag":"2787391186"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2017.8277923","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2017.8277923","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE Information Theory Workshop (ITW)","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/A5090095025","display_name":"Ling-Hua Chang","orcid":"https://orcid.org/0000-0003-3043-4267"},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Ling-Hua Chang","raw_affiliation_strings":["Dept. of Elec. and Computer Eng., National Chiao Tung Univ., Hsinchu, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Elec. and Computer Eng., National Chiao Tung Univ., Hsinchu, Taiwan","institution_ids":["https://openalex.org/I148366613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101478779","display_name":"Carol Wang","orcid":"https://orcid.org/0000-0001-5751-967X"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Carol Wang","raw_affiliation_strings":["Dept. of Elec. and Computer Eng., National Univ. of Singapore, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Elec. and Computer Eng., National Univ. of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037230051","display_name":"Po\u2010Ning Chen","orcid":"https://orcid.org/0000-0002-1231-0706"},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Po-Ning Chen","raw_affiliation_strings":["Dept. of Elec. and Computer Eng., National Chiao Tung Univ., Hsinchu, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Elec. and Computer Eng., National Chiao Tung Univ., Hsinchu, Taiwan","institution_ids":["https://openalex.org/I148366613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023807587","display_name":"Yunghsiang S. Han","orcid":"https://orcid.org/0000-0002-3592-1681"},"institutions":[{"id":"https://openalex.org/I2799850029","display_name":"Dongguan University of Technology","ror":"https://ror.org/01m8p7q42","country_code":"CN","type":"education","lineage":["https://openalex.org/I2799850029"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunghsiang S. Han","raw_affiliation_strings":["Dongguan University of Technology, Dongguan, Guangdong, CN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dongguan University of Technology, Dongguan, Guangdong, CN","institution_ids":["https://openalex.org/I2799850029"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058345431","display_name":"Vincent Y. F. Tan","orcid":"https://orcid.org/0000-0002-5008-4527"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Vincent Y. F. Tan","raw_affiliation_strings":["Dept. of Elec. and Computer Eng., National Univ. of Singapore, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Elec. and Computer Eng., National Univ. of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4131,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.74474748,"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":"419","last_page":"423"},"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9994999766349792,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9994999766349792,"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/hamming-distance","display_name":"Hamming distance","score":0.8145495057106018},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7282627820968628},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.6476478576660156},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.6472705602645874},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.5314784049987793},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5069458484649658},{"id":"https://openalex.org/keywords/minimum-distance","display_name":"Minimum distance","score":0.4918673038482666},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.4915717542171478},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4746849238872528},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4387262463569641},{"id":"https://openalex.org/keywords/hamming-bound","display_name":"Hamming bound","score":0.43540021777153015},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.42509475350379944},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.25655919313430786},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1051187813282013},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.08428516983985901},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.050783127546310425}],"concepts":[{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.8145495057106018},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7282627820968628},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.6476478576660156},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.6472705602645874},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.5314784049987793},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5069458484649658},{"id":"https://openalex.org/C3018063660","wikidata":"https://www.wikidata.org/wiki/Q6865448","display_name":"Minimum distance","level":2,"score":0.4918673038482666},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.4915717542171478},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4746849238872528},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4387262463569641},{"id":"https://openalex.org/C166530166","wikidata":"https://www.wikidata.org/wiki/Q1970635","display_name":"Hamming bound","level":5,"score":0.43540021777153015},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.42509475350379944},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25655919313430786},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1051187813282013},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.08428516983985901},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.050783127546310425},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw.2017.8277923","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2017.8277923","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W947704800","https://openalex.org/W1980073965","https://openalex.org/W2040306726","https://openalex.org/W2085603122","https://openalex.org/W2104553637","https://openalex.org/W2170716519","https://openalex.org/W2342204193","https://openalex.org/W2912608036","https://openalex.org/W2942537621","https://openalex.org/W4206454995","https://openalex.org/W4234572373"],"related_works":["https://openalex.org/W2371167013","https://openalex.org/W1964096323","https://openalex.org/W2951416090","https://openalex.org/W4302771537","https://openalex.org/W4285078748","https://openalex.org/W2562336992","https://openalex.org/W2364890299","https://openalex.org/W2087721965","https://openalex.org/W1997618736","https://openalex.org/W2050371452"],"abstract_inverted_index":{"In":[0],"this":[1,73],"paper,":[2],"an":[3],"exact":[4,22],"distance":[5,13,29,45,56,67,84,108],"spectrum":[6,41],"formula":[7,23],"for":[8],"the":[9,26,39,43,66,81,93,98,106],"largest":[10,27,82],"minimum":[11,28,83,107],"Hamming":[12,44],"of":[14,30,42,58,72,85,109],"finite-length":[15,31,59,86,99,111],"binary":[16],"block":[17,32,60,87,112],"codes":[18,33,61],"is":[19,62,75],"presented.":[20],"The":[21,55],"indicates":[24],"that":[25,92],"can":[34,104],"be":[35],"fully":[36],"characterized":[37],"by":[38],"information":[40],"between":[46],"two":[47],"independent":[48],"and":[49,103],"identically":[50],"distributed":[51],"(i.i.d.)":[52],"random":[53],"codewords.":[54],"property":[57],"then":[63],"connected":[64],"to":[65,80],"spectrum.":[68],"A":[69],"side":[70],"result":[71],"work":[74],"a":[76],"new":[77,94],"lower":[78,95,101],"bound":[79,96,102],"codes.":[88,113],"Numerical":[89],"examinations":[90],"show":[91],"improves":[97],"Gilbert-Varshamov":[100],"reach":[105],"existing":[110]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}