{"id":"https://openalex.org/W1505216056","doi":"https://doi.org/10.1007/3-540-63163-1_24","title":"On generalized Hamming weights of codes constructed on affine algebraic sets","display_name":"On generalized Hamming weights of codes constructed on affine algebraic sets","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W1505216056","doi":"https://doi.org/10.1007/3-540-63163-1_24","mag":"1505216056"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-63163-1_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-63163-1_24","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":"conference-paper","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/A5110477800","display_name":"Tomoharu Shibuya","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tomoharu Shibuya","raw_affiliation_strings":["Dept. of Electrical & Electronic Engineering, Tokyo Inst. of Technology, 2-12-1, Ookayama, Meguro-ku, 152, Tokyo, Japan","Tokyo Inst. of Tech"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electrical & Electronic Engineering, Tokyo Inst. of Technology, 2-12-1, Ookayama, Meguro-ku, 152, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Tokyo Inst. of Tech","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025452941","display_name":"Jiro Mizutani","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Jiro Mizutani","raw_affiliation_strings":["Dept. of Electrical & Electronic Engineering, Tokyo Inst. of Technology, 2-12-1, Ookayama, Meguro-ku, 152, Tokyo, Japan","Tokyo Inst. of Tech"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electrical & Electronic Engineering, Tokyo Inst. of Technology, 2-12-1, Ookayama, Meguro-ku, 152, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Tokyo Inst. of Tech","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109935052","display_name":"Kohichi Sakaniwa","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kohichi Sakaniwa","raw_affiliation_strings":["Dept. of Electrical & Electronic Engineering, Tokyo Inst. of Technology, 2-12-1, Ookayama, Meguro-ku, 152, Tokyo, Japan","Tokyo Inst. of Tech"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electrical & Electronic Engineering, Tokyo Inst. of Technology, 2-12-1, Ookayama, Meguro-ku, 152, Tokyo, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Tokyo Inst. of Tech","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I114531698"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.9803,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.72574363,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"311","last_page":"320"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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":1.0,"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":0.9987000226974487,"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":0.9714000225067139,"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/monomial","display_name":"Monomial","score":0.8546522855758667},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.7098724842071533},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6609492301940918},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.6603796482086182},{"id":"https://openalex.org/keywords/hamming-bound","display_name":"Hamming bound","score":0.644072949886322},{"id":"https://openalex.org/keywords/hamming","display_name":"Hamming(7,4)","score":0.6439264416694641},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.6319971680641174},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6167615652084351},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.555083155632019},{"id":"https://openalex.org/keywords/hamming-weight","display_name":"Hamming weight","score":0.532333254814148},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5052893757820129},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4949192404747009},{"id":"https://openalex.org/keywords/gr\u00f6bner-basis","display_name":"Gr\u00f6bner basis","score":0.4828351140022278},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.47874826192855835},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45075270533561707},{"id":"https://openalex.org/keywords/hamming-graph","display_name":"Hamming graph","score":0.41111525893211365},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18830826878547668},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17266103625297546},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.15915852785110474},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.07838162779808044},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.06193217635154724},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.04854348301887512}],"concepts":[{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.8546522855758667},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.7098724842071533},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6609492301940918},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.6603796482086182},{"id":"https://openalex.org/C166530166","wikidata":"https://www.wikidata.org/wiki/Q1970635","display_name":"Hamming bound","level":5,"score":0.644072949886322},{"id":"https://openalex.org/C112932734","wikidata":"https://www.wikidata.org/wiki/Q2322550","display_name":"Hamming(7,4)","level":5,"score":0.6439264416694641},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.6319971680641174},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6167615652084351},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.555083155632019},{"id":"https://openalex.org/C63361517","wikidata":"https://www.wikidata.org/wiki/Q5645805","display_name":"Hamming weight","level":5,"score":0.532333254814148},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5052893757820129},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4949192404747009},{"id":"https://openalex.org/C198082693","wikidata":"https://www.wikidata.org/wiki/Q1551631","display_name":"Gr\u00f6bner basis","level":3,"score":0.4828351140022278},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.47874826192855835},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45075270533561707},{"id":"https://openalex.org/C29696283","wikidata":"https://www.wikidata.org/wiki/Q369440","display_name":"Hamming graph","level":5,"score":0.41111525893211365},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18830826878547668},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17266103625297546},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.15915852785110474},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.07838162779808044},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.06193217635154724},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.04854348301887512},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-63163-1_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-63163-1_24","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1518341038","https://openalex.org/W2064929450","https://openalex.org/W2121096352","https://openalex.org/W2127558904","https://openalex.org/W2186989661"],"related_works":["https://openalex.org/W2008960744","https://openalex.org/W2105471374","https://openalex.org/W4300879987","https://openalex.org/W2786543974","https://openalex.org/W2964136540","https://openalex.org/W2364868136","https://openalex.org/W2982774419","https://openalex.org/W2740543340","https://openalex.org/W2106912783","https://openalex.org/W2171226783"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
