{"id":"https://openalex.org/W2203203721","doi":"https://doi.org/10.1007/s12095-015-0175-0","title":"1-generator generalized quasi-cyclic codes over \u2124 4 $\\mathbb {Z}_{4}$","display_name":"1-generator generalized quasi-cyclic codes over \u2124 4 $\\mathbb {Z}_{4}$","publication_year":2015,"publication_date":"2015-12-14","ids":{"openalex":"https://openalex.org/W2203203721","doi":"https://doi.org/10.1007/s12095-015-0175-0","mag":"2203203721"},"language":"en","primary_location":{"id":"doi:10.1007/s12095-015-0175-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12095-015-0175-0","pdf_url":null,"source":{"id":"https://openalex.org/S129219326","display_name":"Cryptography and Communications","issn_l":"1936-2447","issn":["1936-2447","1936-2455"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptography and Communications","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/A5101485652","display_name":"Tingting Wu","orcid":"https://orcid.org/0000-0002-7506-5365"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tingting Wu","raw_affiliation_strings":["Chern Institute of Mathematics and LPMC, Nankai University, Tianjin, 300071, People\u2019s Republic of China","Chern Institute of Mathematics and LPMC, Nankai University, Tianjin, 300071, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Chern Institute of Mathematics and LPMC, Nankai University, Tianjin, 300071, People\u2019s Republic of China","institution_ids":["https://openalex.org/I205237279"]},{"raw_affiliation_string":"Chern Institute of Mathematics and LPMC, Nankai University, Tianjin, 300071, People's Republic of China","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089933098","display_name":"Jian Gao","orcid":"https://orcid.org/0000-0002-7307-2828"},"institutions":[{"id":"https://openalex.org/I119203015","display_name":"Shandong University of Technology","ror":"https://ror.org/02mr3ar13","country_code":"CN","type":"education","lineage":["https://openalex.org/I119203015"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jian Gao","raw_affiliation_strings":["School of Science, Shandong University of Technology, Zibo, 255091, People\u2019s Republic of China","School of Science, Shandong University of Technology, Zibo, 255091, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Science, Shandong University of Technology, Zibo, 255091, People\u2019s Republic of China","institution_ids":["https://openalex.org/I119203015"]},{"raw_affiliation_string":"School of Science, Shandong University of Technology, Zibo, 255091, People's Republic of China","institution_ids":["https://openalex.org/I119203015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063946169","display_name":"Fang\u2010Wei Fu","orcid":"https://orcid.org/0000-0002-9696-8977"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fang-Wei Fu","raw_affiliation_strings":["Chern Institute of Mathematics and LPMC, Nankai University, Tianjin, 300071, People\u2019s Republic of China","Chern Institute of Mathematics and LPMC, Nankai University, Tianjin, 300071, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Chern Institute of Mathematics and LPMC, Nankai University, Tianjin, 300071, People\u2019s Republic of China","institution_ids":["https://openalex.org/I205237279"]},{"raw_affiliation_string":"Chern Institute of Mathematics and LPMC, Nankai University, Tianjin, 300071, People's Republic of China","institution_ids":["https://openalex.org/I205237279"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5089933098"],"corresponding_institution_ids":["https://openalex.org/I119203015"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.4462,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.77652026,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"9","issue":"2","first_page":"291","last_page":"299"},"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/T10849","display_name":"Finite Group Theory Research","score":0.989799976348877,"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"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9883000254631042,"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/generator","display_name":"Generator (circuit theory)","score":0.7195103168487549},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5750320553779602},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5672011971473694},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5075289011001587},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48280251026153564},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4733272194862366},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.4686906337738037},{"id":"https://openalex.org/keywords/binary-code","display_name":"Binary code","score":0.45030248165130615},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.31539100408554077},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1959419846534729},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.194362610578537},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.14571073651313782},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.05398547649383545},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05391371250152588},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.05086177587509155}],"concepts":[{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.7195103168487549},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5750320553779602},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5672011971473694},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5075289011001587},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48280251026153564},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4733272194862366},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.4686906337738037},{"id":"https://openalex.org/C63435697","wikidata":"https://www.wikidata.org/wiki/Q864135","display_name":"Binary code","level":3,"score":0.45030248165130615},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.31539100408554077},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1959419846534729},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.194362610578537},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.14571073651313782},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.05398547649383545},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05391371250152588},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.05086177587509155}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12095-015-0175-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12095-015-0175-0","pdf_url":null,"source":{"id":"https://openalex.org/S129219326","display_name":"Cryptography and Communications","issn_l":"1936-2447","issn":["1936-2447","1936-2455"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptography and Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1292825847","display_name":null,"funder_award_id":"61171082","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":15,"referenced_works":["https://openalex.org/W53349146","https://openalex.org/W1976677460","https://openalex.org/W1998728561","https://openalex.org/W2038681062","https://openalex.org/W2072272852","https://openalex.org/W2116551895","https://openalex.org/W2126898771","https://openalex.org/W2141559668","https://openalex.org/W2152669486","https://openalex.org/W2809548040","https://openalex.org/W2895239415","https://openalex.org/W2912167936","https://openalex.org/W3150871087","https://openalex.org/W4229826396","https://openalex.org/W4249397549"],"related_works":["https://openalex.org/W135568846","https://openalex.org/W2460434904","https://openalex.org/W1789159349","https://openalex.org/W2113911300","https://openalex.org/W2151857680","https://openalex.org/W4386066307","https://openalex.org/W832867880","https://openalex.org/W917159298","https://openalex.org/W1975697476","https://openalex.org/W2118665614"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-01-15T23:16:33.117629","created_date":"2025-10-10T00:00:00"}
