{"id":"https://openalex.org/W2551970957","doi":"https://doi.org/10.1109/tit.2016.2628408","title":"A Note on One Weight and Two Weight Projective $\\mathbb {Z}_{4}$ -Codes","display_name":"A Note on One Weight and Two Weight Projective $\\mathbb {Z}_{4}$ -Codes","publication_year":2016,"publication_date":"2016-11-14","ids":{"openalex":"https://openalex.org/W2551970957","doi":"https://doi.org/10.1109/tit.2016.2628408","mag":"2551970957"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2016.2628408","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2016.2628408","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","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/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"]},{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Minjia Shi","raw_affiliation_strings":["National Mobile Communications Research Laboratory, Southeast University, Nanjing, China","School of Mathematical Sciences, Anhui University, Anhui, China"],"affiliations":[{"raw_affiliation_string":"National Mobile Communications Research Laboratory, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, Anhui, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101773824","display_name":"Liangliang Xu","orcid":null},"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":false,"raw_author_name":"Liangliang Xu","raw_affiliation_strings":["School of Mathematical Sciences, Anhui University, Hefei, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102838364","display_name":"Gang Yang","orcid":"https://orcid.org/0009-0004-3398-5560"},"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":false,"raw_author_name":"Gang Yang","raw_affiliation_strings":["School of Mathematical Sciences, Anhui University, Hefei, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5044196416"],"corresponding_institution_ids":["https://openalex.org/I143868143","https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":3.0008,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.93004337,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"63","issue":"1","first_page":"177","last_page":"182"},"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":0.9984999895095825,"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":0.9916999936103821,"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/diophantine-equation","display_name":"Diophantine equation","score":0.6474848389625549},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.498903751373291},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46883219480514526},{"id":"https://openalex.org/keywords/projective-test","display_name":"Projective test","score":0.46610698103904724},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4109649658203125},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3847615718841553},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20447805523872375}],"concepts":[{"id":"https://openalex.org/C206530611","wikidata":"https://www.wikidata.org/wiki/Q905896","display_name":"Diophantine equation","level":2,"score":0.6474848389625549},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.498903751373291},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46883219480514526},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.46610698103904724},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4109649658203125},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3847615718841553},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20447805523872375}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2016.2628408","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2016.2628408","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"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"},{"id":"https://openalex.org/G2786739832","display_name":null,"funder_award_id":"2015D11","funder_id":"https://openalex.org/F4320324856","funder_display_name":"Southeast University"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324856","display_name":"Southeast University","ror":"https://ror.org/04ct4d772"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W182192119","https://openalex.org/W1952591304","https://openalex.org/W1970824825","https://openalex.org/W2038681062","https://openalex.org/W2108424608","https://openalex.org/W2270525856","https://openalex.org/W2317746472","https://openalex.org/W2344145354","https://openalex.org/W2345649747"],"related_works":["https://openalex.org/W2323172212","https://openalex.org/W1799780713","https://openalex.org/W4323907493","https://openalex.org/W2378613393","https://openalex.org/W4297688629","https://openalex.org/W1550725800","https://openalex.org/W4385711919","https://openalex.org/W2370478068","https://openalex.org/W4384345859","https://openalex.org/W3007264409"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,21],"solve":[4],"the":[5,17,24,34,38],"open":[6],"problems":[7],"raised":[8],"in":[9],"[8]":[10],"and":[11,29,31],"present":[12],"some":[13],"examples":[14],"to":[15],"illustrate":[16],"obtained":[18],"results.":[19],"Moreover,":[20],"work":[22],"out":[23],"diophantine":[25],"problem":[26],"by":[27],"Shi":[28],"Wang":[30],"then":[32],"give":[33],"sufficient":[35],"conditions":[36],"for":[37],"nonexistence":[39],"of":[40],"two-Lee":[41],"weight":[42],"projective":[43],"codes":[44],"over":[45],"Z":[46],"<sub":[47],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[48,54,58],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">4</sub>":[49],"with":[50],"type":[51],"4":[52],"<sup":[53,57],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">k</sup>":[55],"12":[56],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">k2</sup>":[59],".":[60]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-02T08:37:19.008085","created_date":"2025-10-10T00:00:00"}