{"id":"https://openalex.org/W2032187670","doi":"https://doi.org/10.1109/isit.2005.1523687","title":"Derivation of autocorrelation distributions of Sidel'nikov sequences using cyclotomic numbers","display_name":"Derivation of autocorrelation distributions of Sidel'nikov sequences using cyclotomic numbers","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2032187670","doi":"https://doi.org/10.1109/isit.2005.1523687","mag":"2032187670"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2005.1523687","is_oa":true,"landing_page_url":"https://doi.org/10.1109/isit.2005.1523687","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/isit.2005.1523687","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100774710","display_name":"Young Sik Kim","orcid":"https://orcid.org/0000-0003-4114-4935"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Young-Sik Kim","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, Seoul National University, Seoul, South Korea","Sch. of Electr. Eng. & Comput. Sci., Seoul Nat. Univ.#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, Seoul National University, Seoul, South Korea","institution_ids":["https://openalex.org/I139264467"]},{"raw_affiliation_string":"Sch. of Electr. Eng. & Comput. Sci., Seoul Nat. Univ.#TAB#","institution_ids":["https://openalex.org/I139264467"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066464833","display_name":"Jung-Soo Chung","orcid":null},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Jung-Soo Chung","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, Seoul National University, Seoul, South Korea","Sch. of Electr. Eng. & Comput. Sci., Seoul Nat. Univ.#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, Seoul National University, Seoul, South Korea","institution_ids":["https://openalex.org/I139264467"]},{"raw_affiliation_string":"Sch. of Electr. Eng. & Comput. Sci., Seoul Nat. Univ.#TAB#","institution_ids":["https://openalex.org/I139264467"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000078617","display_name":"Jong\u2010Seon No","orcid":"https://orcid.org/0000-0002-3946-0958"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Jong-Seon No","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, Seoul National University, Seoul, South Korea","Sch. of Electr. Eng. & Comput. Sci., Seoul Nat. Univ.#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, Seoul National University, Seoul, South Korea","institution_ids":["https://openalex.org/I139264467"]},{"raw_affiliation_string":"Sch. of Electr. Eng. & Comput. Sci., Seoul Nat. Univ.#TAB#","institution_ids":["https://openalex.org/I139264467"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100809892","display_name":"Habong Chung","orcid":null},"institutions":[{"id":"https://openalex.org/I94588446","display_name":"Hongik University","ror":"https://ror.org/00egdv862","country_code":"KR","type":"education","lineage":["https://openalex.org/I94588446"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Habong Chung","raw_affiliation_strings":["School of Electronics and Electrical Engineering, Hongik University, Seoul, South Korea","Hongik University"],"affiliations":[{"raw_affiliation_string":"School of Electronics and Electrical Engineering, Hongik University, Seoul, South Korea","institution_ids":["https://openalex.org/I94588446"]},{"raw_affiliation_string":"Hongik University","institution_ids":["https://openalex.org/I94588446"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100774710"],"corresponding_institution_ids":["https://openalex.org/I139264467"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10743279,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"20","issue":null,"first_page":"1957","last_page":"1961"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9987999796867371,"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":0.9987999796867371,"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/T10232","display_name":"Optical Network Technologies","score":0.9684000015258789,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9638000130653381,"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/autocorrelation","display_name":"Autocorrelation","score":0.928987979888916},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6695194840431213},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5897929668426514},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5702186822891235},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5001704692840576},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4627781808376312},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4243476986885071},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.32356587052345276},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.049552351236343384}],"concepts":[{"id":"https://openalex.org/C5297727","wikidata":"https://www.wikidata.org/wiki/Q786970","display_name":"Autocorrelation","level":2,"score":0.928987979888916},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6695194840431213},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5897929668426514},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5702186822891235},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5001704692840576},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4627781808376312},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4243476986885071},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.32356587052345276},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.049552351236343384},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/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.2005.1523687","is_oa":true,"landing_page_url":"https://doi.org/10.1109/isit.2005.1523687","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":{"id":"doi:10.1109/isit.2005.1523687","is_oa":true,"landing_page_url":"https://doi.org/10.1109/isit.2005.1523687","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. International Symposium on Information Theory, 2005. ISIT 2005.","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W2009909148","https://openalex.org/W2096522361","https://openalex.org/W2121283460","https://openalex.org/W2124119505","https://openalex.org/W2164334465","https://openalex.org/W2167413459","https://openalex.org/W2330548796","https://openalex.org/W3151140615"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W747394405","https://openalex.org/W1987236514","https://openalex.org/W174653542","https://openalex.org/W2381153750","https://openalex.org/W2041235277","https://openalex.org/W2088220880","https://openalex.org/W2022021973","https://openalex.org/W3121354342","https://openalex.org/W2376206440"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"derived":[4],"the":[5,9,12,20,42,54,70,73],"autocorrelation":[6,21,30,59],"distributions,":[7],"i.e.,":[8],"values":[10,60],"and":[11],"number":[13,56],"of":[14,16,19,23,28,32,41,45,57,72],"occurrences":[15],"each":[17,29],"value":[18,31],"function":[22],"Sidel'nikov":[24,35],"sequences.":[25],"The":[26],"frequency":[27],"an":[33],"M-ary":[34],"sequence":[36],"is":[37,49,61],"expressed":[38],"in":[39],"terms":[40],"cyclotomic":[43],"numbers":[44],"order":[46],"M.":[47],"It":[48],"also":[50,68],"pointed":[51],"out":[52],"that":[53],"total":[55],"distinct":[58],"dependent":[62],"not":[63],"only":[64],"on":[65,69],"M":[66],"but":[67,75],"period":[71],"sequence,":[74],"always":[76],"less":[77],"than":[78],"or":[79],"equal":[80],"to":[81],"(":[82],"<sub":[83],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[84,87],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[85],"<sup":[86],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">M</sup>":[88],")":[89],"+":[90],"1":[91]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
