{"id":"https://openalex.org/W1964533584","doi":"https://doi.org/10.1007/s10623-012-9698-y","title":"On the distinctness of modular reductions of primitive sequences over Z/(232\u22121)","display_name":"On the distinctness of modular reductions of primitive sequences over Z/(232\u22121)","publication_year":2012,"publication_date":"2012-05-29","ids":{"openalex":"https://openalex.org/W1964533584","doi":"https://doi.org/10.1007/s10623-012-9698-y","mag":"1964533584"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-012-9698-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-012-9698-y","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/A5010491864","display_name":"Qun-Xiong Zheng","orcid":"https://orcid.org/0000-0002-6929-1999"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Qun-Xiong Zheng","raw_affiliation_strings":["Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou, People\u2019s Republic of China","Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou, People's Republic of China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou, People\u2019s Republic of China","institution_ids":[]},{"raw_affiliation_string":"Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou, People's Republic of China#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101738495","display_name":"Wen\u2010Feng Qi","orcid":"https://orcid.org/0000-0002-3031-4719"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wen-Feng Qi","raw_affiliation_strings":["Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou, People\u2019s Republic of China","Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou, People's Republic of China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou, People\u2019s Republic of China","institution_ids":[]},{"raw_affiliation_string":"Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou, People's Republic of China#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100419125","display_name":"Tian Tian","orcid":"https://orcid.org/0000-0001-5099-0872"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tian Tian","raw_affiliation_strings":["Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou, People\u2019s Republic of China","Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou, People's Republic of China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou, People\u2019s Republic of China","institution_ids":[]},{"raw_affiliation_string":"Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou, People's Republic of China#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5010491864"],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.6743,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.90076121,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"70","issue":"3","first_page":"359","last_page":"368"},"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/T11567","display_name":"semigroups and automata theory","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/coprime-integers","display_name":"Coprime integers","score":0.7371191382408142},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.7359349727630615},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7280460596084595},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6602876782417297},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.6230167746543884},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6147886514663696},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5415875911712646},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5278757810592651},{"id":"https://openalex.org/keywords/modular-form","display_name":"Modular form","score":0.4975724518299103},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4966750741004944},{"id":"https://openalex.org/keywords/primitive-root-modulo-n","display_name":"Primitive root modulo n","score":0.46805328130722046},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25169748067855835},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15579569339752197},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.08616644144058228},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08465027809143066},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0632849931716919}],"concepts":[{"id":"https://openalex.org/C23230895","wikidata":"https://www.wikidata.org/wiki/Q104752","display_name":"Coprime integers","level":2,"score":0.7371191382408142},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.7359349727630615},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7280460596084595},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6602876782417297},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.6230167746543884},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6147886514663696},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5415875911712646},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5278757810592651},{"id":"https://openalex.org/C75764964","wikidata":"https://www.wikidata.org/wiki/Q870797","display_name":"Modular form","level":2,"score":0.4975724518299103},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4966750741004944},{"id":"https://openalex.org/C6026789","wikidata":"https://www.wikidata.org/wiki/Q948010","display_name":"Primitive root modulo n","level":3,"score":0.46805328130722046},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25169748067855835},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15579569339752197},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.08616644144058228},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08465027809143066},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0632849931716919},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-012-9698-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-012-9698-y","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":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1486719429","https://openalex.org/W1566203915","https://openalex.org/W1785801822","https://openalex.org/W1977558052","https://openalex.org/W1983904105","https://openalex.org/W1984477183","https://openalex.org/W2004109762","https://openalex.org/W2006550843","https://openalex.org/W2011865779","https://openalex.org/W2027537946","https://openalex.org/W2048010505","https://openalex.org/W2054231388","https://openalex.org/W2067036780","https://openalex.org/W2070661421","https://openalex.org/W2071470615","https://openalex.org/W2074455950","https://openalex.org/W2082673605","https://openalex.org/W2085836194","https://openalex.org/W2097539145","https://openalex.org/W2098673446","https://openalex.org/W2118925622","https://openalex.org/W2119480500","https://openalex.org/W2125444078","https://openalex.org/W2137040286","https://openalex.org/W2153033543","https://openalex.org/W2156438058","https://openalex.org/W2188541138","https://openalex.org/W2318381750","https://openalex.org/W2624923838","https://openalex.org/W4402911334"],"related_works":["https://openalex.org/W2040038883","https://openalex.org/W2849529886","https://openalex.org/W2374154560","https://openalex.org/W2382727118","https://openalex.org/W2764518425","https://openalex.org/W2752697867","https://openalex.org/W2369152922","https://openalex.org/W3179849411","https://openalex.org/W2378932980","https://openalex.org/W1965894940"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}