{"id":"https://openalex.org/W2921372086","doi":"https://doi.org/10.1007/s10623-019-00628-7","title":"Three-weight codes, triple sum sets, and strongly walk regular graphs","display_name":"Three-weight codes, triple sum sets, and strongly walk regular graphs","publication_year":2019,"publication_date":"2019-03-16","ids":{"openalex":"https://openalex.org/W2921372086","doi":"https://doi.org/10.1007/s10623-019-00628-7","mag":"2921372086"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-019-00628-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-019-00628-7","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://inria.hal.science/hal-02411038","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044196416","display_name":"Minjia Shi","orcid":"https://orcid.org/0000-0002-4990-6271"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Minjia Shi","raw_affiliation_strings":["School of Mathematical Sciences of Anhui University, Anhui, 230601, People\u2019s Republic of China","Anhui University [Hefei] (Hefei, Anhui, China - China)"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences of Anhui University, Anhui, 230601, People\u2019s Republic of China","institution_ids":["https://openalex.org/I143868143"]},{"raw_affiliation_string":"Anhui University [Hefei] (Hefei, Anhui, China - China)","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024873890","display_name":"Patrick Sol\u00e9","orcid":"https://orcid.org/0000-0002-4078-8301"},"institutions":[{"id":"https://openalex.org/I4210142724","display_name":"Centrale Marseille","ror":"https://ror.org/040baw385","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210142724"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]},{"id":"https://openalex.org/I4210138206","display_name":"Institut de Math\u00e9matiques de Marseille","ror":"https://ror.org/042h2y225","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210138206","https://openalex.org/I4210141950","https://openalex.org/I4210142724"]},{"id":"https://openalex.org/I4210116669","display_name":"Ch\u00e2teau Gombert","ror":"https://ror.org/02kspbq18","country_code":"FR","type":"other","lineage":["https://openalex.org/I4210116669"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Patrick Sol\u00e9","raw_affiliation_strings":["Aix Marseille Univ, CNRS, Centrale Marseille, I2M, Marseille, France","I2M - Institut de Math\u00e9matiques de Marseille (Centre de Math\u00e9matiques et Informatique (CMI)\r\nTechnop\u00f4le Ch\u00e2teau-Gombert\r\n39, rue Fr\u00e9d\u00e9ric Joliot Curie\r\n13453 Marseille Cedex 13  - France)"],"affiliations":[{"raw_affiliation_string":"Aix Marseille Univ, CNRS, Centrale Marseille, I2M, Marseille, France","institution_ids":["https://openalex.org/I4210142724","https://openalex.org/I4210160189","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"I2M - Institut de Math\u00e9matiques de Marseille (Centre de Math\u00e9matiques et Informatique (CMI)\r\nTechnop\u00f4le Ch\u00e2teau-Gombert\r\n39, rue Fr\u00e9d\u00e9ric Joliot Curie\r\n13453 Marseille Cedex 13  - France)","institution_ids":["https://openalex.org/I4210116669","https://openalex.org/I4210160189","https://openalex.org/I4210138206"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5044196416"],"corresponding_institution_ids":["https://openalex.org/I143868143"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.4454,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.86407662,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"87","issue":"10","first_page":"2395","last_page":"2404"},"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":0.9993000030517578,"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/T10849","display_name":"Finite Group Theory Research","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/mathematics","display_name":"Mathematics","score":0.8355591297149658},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6734563708305359},{"id":"https://openalex.org/keywords/dual-polyhedron","display_name":"Dual polyhedron","score":0.6394485235214233},{"id":"https://openalex.org/keywords/strongly-regular-graph","display_name":"Strongly regular graph","score":0.6017023324966431},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5786100029945374},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5732230544090271},{"id":"https://openalex.org/keywords/trace","display_name":"TRACE (psycholinguistics)","score":0.5104621648788452},{"id":"https://openalex.org/keywords/coset","display_name":"Coset","score":0.506990909576416},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4183093309402466},{"id":"https://openalex.org/keywords/reed\u2013muller-code","display_name":"Reed\u2013Muller code","score":0.4132533073425293},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.40153631567955017},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.37920865416526794},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.3034190833568573},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.1456492841243744},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.10742035508155823},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.09662270545959473},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.07618787884712219},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07434171438217163}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8355591297149658},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6734563708305359},{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.6394485235214233},{"id":"https://openalex.org/C133875400","wikidata":"https://www.wikidata.org/wiki/Q692823","display_name":"Strongly regular graph","level":5,"score":0.6017023324966431},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5786100029945374},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5732230544090271},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.5104621648788452},{"id":"https://openalex.org/C85307737","wikidata":"https://www.wikidata.org/wiki/Q751969","display_name":"Coset","level":2,"score":0.506990909576416},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4183093309402466},{"id":"https://openalex.org/C169021753","wikidata":"https://www.wikidata.org/wiki/Q201972","display_name":"Reed\u2013Muller code","level":5,"score":0.4132533073425293},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.40153631567955017},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.37920865416526794},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.3034190833568573},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.1456492841243744},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.10742035508155823},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.09662270545959473},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.07618787884712219},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07434171438217163},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10623-019-00628-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-019-00628-7","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:HAL:hal-02411038v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-02411038","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Designs, Codes and Cryptography, 2019, 87, pp.2395 - 2404. &#x27E8;10.1007/s10623-019-00628-7&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-02411038v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-02411038","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Designs, Codes and Cryptography, 2019, 87, pp.2395 - 2404. &#x27E8;10.1007/s10623-019-00628-7&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2683730091","display_name":null,"funder_award_id":"61672036","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1559343931","https://openalex.org/W1570882828","https://openalex.org/W1602888786","https://openalex.org/W1771040533","https://openalex.org/W1973483608","https://openalex.org/W1998084064","https://openalex.org/W2026686297","https://openalex.org/W2027062106","https://openalex.org/W2029487152","https://openalex.org/W2067096554","https://openalex.org/W2101226255","https://openalex.org/W2104600050","https://openalex.org/W2138033161","https://openalex.org/W2153988305","https://openalex.org/W2552206929","https://openalex.org/W2604096566","https://openalex.org/W2739214207","https://openalex.org/W2760922602","https://openalex.org/W2796068493","https://openalex.org/W3029297920","https://openalex.org/W3100439385","https://openalex.org/W4206775542","https://openalex.org/W4285719527","https://openalex.org/W4298236575"],"related_works":["https://openalex.org/W2161284257","https://openalex.org/W4389292288","https://openalex.org/W4210934707","https://openalex.org/W4307782542","https://openalex.org/W3045580795","https://openalex.org/W4366985329","https://openalex.org/W2037339745","https://openalex.org/W3021758908","https://openalex.org/W2952736220","https://openalex.org/W2137843273"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
