{"id":"https://openalex.org/W2080459230","doi":"https://doi.org/10.1109/isit.2005.1523695","title":"A new class of binary sequences with low correlation and large linear complexity from function fields","display_name":"A new class of binary sequences with low correlation and large linear complexity from function fields","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2080459230","doi":"https://doi.org/10.1109/isit.2005.1523695","mag":"2080459230"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2005.1523695","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2005.1523695","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. International Symposium on Information Theory, 2005. ISIT 2005.","raw_type":"proceedings-article"},"type":"conference-paper","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/A5103242210","display_name":"Honggang Hu","orcid":"https://orcid.org/0000-0002-8903-8413"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Honggang Hu","raw_affiliation_strings":["State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing, China","State Key Lab. of Inf. Security, Graduate Sch. of Chinese Acad. of Sci., Beijing"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366"]},{"raw_affiliation_string":"State Key Lab. of Inf. Security, Graduate Sch. of Chinese Acad. of Sci., Beijing","institution_ids":["https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034965387","display_name":"Lei Hu","orcid":"https://orcid.org/0000-0002-9920-5342"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Hu","raw_affiliation_strings":["State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing, China","State Key Lab. of Inf. Security, Graduate Sch. of Chinese Acad. of Sci., Beijing"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366"]},{"raw_affiliation_string":"State Key Lab. of Inf. Security, Graduate Sch. of Chinese Acad. of Sci., Beijing","institution_ids":["https://openalex.org/I19820366"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102205897","display_name":"Dengguo Feng","orcid":null},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dengguo Feng","raw_affiliation_strings":["State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing, China","State Key Lab. of Inf. Security, Graduate Sch. of Chinese Acad. of Sci., Beijing"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366"]},{"raw_affiliation_string":"State Key Lab. of Inf. Security, Graduate Sch. of Chinese Acad. of Sci., Beijing","institution_ids":["https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I19820366"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19040139,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"1997","last_page":"2001"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9926000237464905,"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"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9854000210762024,"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/binary-number","display_name":"Binary number","score":0.6712353229522705},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.6600223779678345},{"id":"https://openalex.org/keywords/binary-function","display_name":"Binary function","score":0.5882766842842102},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5711888074874878},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5540072321891785},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5471413135528564},{"id":"https://openalex.org/keywords/correlation","display_name":"Correlation","score":0.47686490416526794},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3904574513435364},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3767637610435486},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3356538414955139},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.13689127564430237},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12563291192054749},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05513167381286621}],"concepts":[{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6712353229522705},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6600223779678345},{"id":"https://openalex.org/C105462591","wikidata":"https://www.wikidata.org/wiki/Q3737844","display_name":"Binary function","level":3,"score":0.5882766842842102},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5711888074874878},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5540072321891785},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5471413135528564},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.47686490416526794},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3904574513435364},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3767637610435486},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3356538414955139},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.13689127564430237},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12563291192054749},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05513167381286621},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2005.1523695","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2005.1523695","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. International Symposium on Information Theory, 2005. ISIT 2005.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1557415002","https://openalex.org/W1559810343","https://openalex.org/W2078445005","https://openalex.org/W2100142304","https://openalex.org/W2104436223","https://openalex.org/W2155239351","https://openalex.org/W2964184480","https://openalex.org/W4242800324"],"related_works":["https://openalex.org/W2893614166","https://openalex.org/W2003769335","https://openalex.org/W3028761860","https://openalex.org/W2964302506","https://openalex.org/W561565762","https://openalex.org/W2030571740","https://openalex.org/W2766091780","https://openalex.org/W1965850177","https://openalex.org/W2312850009","https://openalex.org/W2046819800"],"abstract_inverted_index":{"Recently":[0],"Xing":[1,71],"et":[2,72],"al":[3,73],"constructed":[4],"some":[5,62],"families":[6],"of":[7,20,23,26,41,44,70],"binary":[8],"sequences":[9],"with":[10],"low":[11,59],"correlation":[12],"and":[13,58],"large":[14,53,55],"linear":[15,56],"complexity":[16],"by":[17,37],"making":[18],"use":[19],"the":[21,39],"theory":[22,40],"Artin-Schreier":[24],"extensions":[25,43],"function":[27,45],"fields.":[28,46],"In":[29,61],"this":[30],"paper,":[31],"we":[32],"present":[33],"a":[34],"new":[35],"construction":[36],"using":[38],"Kummer":[42],"The":[47],"analysis":[48],"shows":[49],"than":[50,68],"they":[51],"have":[52],"periods,":[54],"complexities,":[57],"correlations.":[60],"cases,":[63],"our":[64],"method":[65],"is":[66],"better":[67],"that":[69]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
