{"id":"https://openalex.org/W1504048958","doi":"https://doi.org/10.1007/bfb0030838","title":"Small weight bases for hamming codes","display_name":"Small weight bases for hamming codes","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W1504048958","doi":"https://doi.org/10.1007/bfb0030838","mag":"1504048958"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0030838","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0030838","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5039252182","display_name":"John Tromp","orcid":"https://orcid.org/0000-0002-1062-8710"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"John Tromp","raw_affiliation_strings":["Dept. of Comp. Sci., University of Waterloo, N2L 3G1, Waterloo, Ont., Canada","(University of Waterloo)"],"affiliations":[{"raw_affiliation_string":"Dept. of Comp. Sci., University of Waterloo, N2L 3G1, Waterloo, Ont., Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"(University of Waterloo)","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012300835","display_name":"Louxin Zhang","orcid":"https://orcid.org/0000-0003-0260-824X"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Louxin Zhang","raw_affiliation_strings":["Dept. of Comp. Sci., University of Waterloo, N2L 3G1, Waterloo, Ont., Canada","(University of Waterloo)"],"affiliations":[{"raw_affiliation_string":"Dept. of Comp. Sci., University of Waterloo, N2L 3G1, Waterloo, Ont., Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"(University of Waterloo)","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101752319","display_name":"Ying Zhao","orcid":"https://orcid.org/0000-0001-8820-9463"},"institutions":[{"id":"https://openalex.org/I88830068","display_name":"Shaanxi Normal University","ror":"https://ror.org/0170z8493","country_code":"CN","type":"education","lineage":["https://openalex.org/I88830068"]},{"id":"https://openalex.org/I94310126","display_name":"Shanxi Normal University","ror":"https://ror.org/03zd3ta61","country_code":"CN","type":"education","lineage":["https://openalex.org/I94310126"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ying Zhao","raw_affiliation_strings":["Dept. of Math., Shanxi Teacher's University, China","Shanxi Teacher's University"],"affiliations":[{"raw_affiliation_string":"Dept. of Math., Shanxi Teacher's University, China","institution_ids":["https://openalex.org/I94310126","https://openalex.org/I88830068"]},{"raw_affiliation_string":"Shanxi Teacher's University","institution_ids":["https://openalex.org/I94310126","https://openalex.org/I88830068"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5039252182"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12671395,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"235","last_page":"243"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9995999932289124,"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":0.9995999932289124,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.8499752283096313},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.7999333143234253},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6384421586990356},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.6342020034790039},{"id":"https://openalex.org/keywords/column","display_name":"Column (typography)","score":0.5935965776443481},{"id":"https://openalex.org/keywords/hamming-weight","display_name":"Hamming weight","score":0.5908384323120117},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5814293622970581},{"id":"https://openalex.org/keywords/hamming","display_name":"Hamming(7,4)","score":0.5768136382102966},{"id":"https://openalex.org/keywords/hamming-graph","display_name":"Hamming graph","score":0.5116026997566223},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.43711498379707336},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4247295558452606},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3440548777580261},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.299240380525589},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2917129397392273},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.2121647596359253},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.2067309021949768},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07313349843025208},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.04061242938041687}],"concepts":[{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.8499752283096313},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.7999333143234253},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6384421586990356},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.6342020034790039},{"id":"https://openalex.org/C2780551164","wikidata":"https://www.wikidata.org/wiki/Q2306599","display_name":"Column (typography)","level":3,"score":0.5935965776443481},{"id":"https://openalex.org/C63361517","wikidata":"https://www.wikidata.org/wiki/Q5645805","display_name":"Hamming weight","level":5,"score":0.5908384323120117},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5814293622970581},{"id":"https://openalex.org/C112932734","wikidata":"https://www.wikidata.org/wiki/Q2322550","display_name":"Hamming(7,4)","level":5,"score":0.5768136382102966},{"id":"https://openalex.org/C29696283","wikidata":"https://www.wikidata.org/wiki/Q369440","display_name":"Hamming graph","level":5,"score":0.5116026997566223},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.43711498379707336},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4247295558452606},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3440548777580261},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.299240380525589},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2917129397392273},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.2121647596359253},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.2067309021949768},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07313349843025208},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.04061242938041687},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bfb0030838","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0030838","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:cwi:oai:cwi.nl:1342","is_oa":false,"landing_page_url":"https://ir.cwi.nl/pub/1342","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theoretical Computer Science, 337 - 345","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7599999904632568,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W37185712","https://openalex.org/W600812866","https://openalex.org/W1980073965","https://openalex.org/W2011240244","https://openalex.org/W2033534305","https://openalex.org/W2037342473","https://openalex.org/W2097755092","https://openalex.org/W2101365840","https://openalex.org/W2157567018","https://openalex.org/W2262812746","https://openalex.org/W2342204193","https://openalex.org/W3151140615","https://openalex.org/W4300433432"],"related_works":["https://openalex.org/W2008960744","https://openalex.org/W2105471374","https://openalex.org/W2740543340","https://openalex.org/W2158117886","https://openalex.org/W1582340598","https://openalex.org/W1519122282","https://openalex.org/W3105418885","https://openalex.org/W2182731056","https://openalex.org/W66917582","https://openalex.org/W2067417168"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
