{"id":"https://openalex.org/W2920889620","doi":"https://doi.org/10.1007/s10623-019-00630-z","title":"On the weight distribution of second order Reed\u2013Muller codes and their relatives","display_name":"On the weight distribution of second order Reed\u2013Muller codes and their relatives","publication_year":2019,"publication_date":"2019-03-28","ids":{"openalex":"https://openalex.org/W2920889620","doi":"https://doi.org/10.1007/s10623-019-00630-z","mag":"2920889620"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-019-00630-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-019-00630-z","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010168954","display_name":"Shuxing Li","orcid":"https://orcid.org/0000-0002-3405-3392"},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke University Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Shuxing Li","raw_affiliation_strings":["Faculty of Mathematics, Otto von Guericke University Magdeburg, 39106, Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Otto von Guericke University Magdeburg, 39106, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5010168954"],"corresponding_institution_ids":["https://openalex.org/I95793202"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.5782,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.74645002,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"87","issue":"10","first_page":"2447","last_page":"2460"},"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":0.9872999787330627,"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":0.98580002784729,"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/weight-distribution","display_name":"Weight distribution","score":0.8017858266830444},{"id":"https://openalex.org/keywords/reed\u2013muller-code","display_name":"Reed\u2013Muller code","score":0.7890998125076294},{"id":"https://openalex.org/keywords/mceliece-cryptosystem","display_name":"McEliece cryptosystem","score":0.7713826894760132},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.677980363368988},{"id":"https://openalex.org/keywords/prime-power","display_name":"Prime power","score":0.6119894981384277},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5542909502983093},{"id":"https://openalex.org/keywords/reed\u2013solomon-error-correction","display_name":"Reed\u2013Solomon error correction","score":0.5134688019752502},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.50111985206604},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4520646035671234},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.4466024339199066},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.44349849224090576},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.40748926997184753},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.32707107067108154},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19123515486717224},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11285531520843506},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.10333508253097534},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.0898158848285675}],"concepts":[{"id":"https://openalex.org/C25432639","wikidata":"https://www.wikidata.org/wiki/Q3711790","display_name":"Weight distribution","level":2,"score":0.8017858266830444},{"id":"https://openalex.org/C169021753","wikidata":"https://www.wikidata.org/wiki/Q201972","display_name":"Reed\u2013Muller code","level":5,"score":0.7890998125076294},{"id":"https://openalex.org/C16935551","wikidata":"https://www.wikidata.org/wiki/Q1042583","display_name":"McEliece cryptosystem","level":4,"score":0.7713826894760132},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.677980363368988},{"id":"https://openalex.org/C174072685","wikidata":"https://www.wikidata.org/wiki/Q1667469","display_name":"Prime power","level":3,"score":0.6119894981384277},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5542909502983093},{"id":"https://openalex.org/C78065487","wikidata":"https://www.wikidata.org/wiki/Q1061598","display_name":"Reed\u2013Solomon error correction","level":5,"score":0.5134688019752502},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.50111985206604},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4520646035671234},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.4466024339199066},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.44349849224090576},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.40748926997184753},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.32707107067108154},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19123515486717224},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11285531520843506},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.10333508253097534},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.0898158848285675},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-019-00630-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-019-00630-z","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Partnerships for the goals","score":0.46000000834465027,"id":"https://metadata.un.org/sdg/17"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1537917416","https://openalex.org/W1606480398","https://openalex.org/W2031428201","https://openalex.org/W2116167902","https://openalex.org/W2120399748","https://openalex.org/W2123559613","https://openalex.org/W2135099985","https://openalex.org/W2964110229"],"related_works":["https://openalex.org/W4299669796","https://openalex.org/W4297816006","https://openalex.org/W2122540425","https://openalex.org/W2111444563","https://openalex.org/W4298336377","https://openalex.org/W2518167028","https://openalex.org/W2952098968","https://openalex.org/W2255106459","https://openalex.org/W2063994293","https://openalex.org/W2121574730"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}