{"id":"https://openalex.org/W2039611463","doi":"https://doi.org/10.1007/s10623-007-9112-3","title":"Inferring sequences produced by a linear congruential generator on elliptic curves missing high-order bits","display_name":"Inferring sequences produced by a linear congruential generator on elliptic curves missing high-order bits","publication_year":2007,"publication_date":"2007-08-24","ids":{"openalex":"https://openalex.org/W2039611463","doi":"https://doi.org/10.1007/s10623-007-9112-3","mag":"2039611463"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-007-9112-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-007-9112-3","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/A5006984722","display_name":"Jaime Guti\u00e9rrez","orcid":"https://orcid.org/0000-0003-1892-3084"},"institutions":[{"id":"https://openalex.org/I13134134","display_name":"Universidad de Cantabria","ror":"https://ror.org/046ffzj20","country_code":"ES","type":"education","lineage":["https://openalex.org/I13134134"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jaime Gutierrez","raw_affiliation_strings":["Applied Mathematics and Computer Science Department, University of Cantabria, Santander, 39071, Spain","Applied Mathematics and Computer Science Department, University of Cantabria, Santander, Spain 39071#TAB#"],"affiliations":[{"raw_affiliation_string":"Applied Mathematics and Computer Science Department, University of Cantabria, Santander, 39071, Spain","institution_ids":["https://openalex.org/I13134134"]},{"raw_affiliation_string":"Applied Mathematics and Computer Science Department, University of Cantabria, Santander, Spain 39071#TAB#","institution_ids":["https://openalex.org/I13134134"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110074307","display_name":"\u00c1lvar Ibeas","orcid":null},"institutions":[{"id":"https://openalex.org/I13134134","display_name":"Universidad de Cantabria","ror":"https://ror.org/046ffzj20","country_code":"ES","type":"education","lineage":["https://openalex.org/I13134134"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"\u00c1lvar Ibeas","raw_affiliation_strings":["Applied Mathematics and Computer Science Department, University of Cantabria, Santander, 39071, Spain","Applied Mathematics and Computer Science Department, University of Cantabria, Santander, Spain 39071#TAB#"],"affiliations":[{"raw_affiliation_string":"Applied Mathematics and Computer Science Department, University of Cantabria, Santander, 39071, Spain","institution_ids":["https://openalex.org/I13134134"]},{"raw_affiliation_string":"Applied Mathematics and Computer Science Department, University of Cantabria, Santander, Spain 39071#TAB#","institution_ids":["https://openalex.org/I13134134"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5006984722"],"corresponding_institution_ids":["https://openalex.org/I13134134"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":4.9864,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.95113936,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"45","issue":"2","first_page":"199","last_page":"212"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T10237","display_name":"Cryptography and Data Security","score":0.9994000196456909,"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/T11130","display_name":"Coding theory and cryptography","score":0.9966999888420105,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.8744668960571289},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6413354873657227},{"id":"https://openalex.org/keywords/linear-congruential-generator","display_name":"Linear congruential generator","score":0.617077112197876},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.6063748598098755},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5979855060577393},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.5665858387947083},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5198969841003418},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4612051844596863},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4520431160926819},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4505397379398346},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.4164992570877075},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.27260738611221313},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20572489500045776},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12459889054298401}],"concepts":[{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.8744668960571289},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6413354873657227},{"id":"https://openalex.org/C141890704","wikidata":"https://www.wikidata.org/wiki/Q1190228","display_name":"Linear congruential generator","level":3,"score":0.617077112197876},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.6063748598098755},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5979855060577393},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.5665858387947083},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5198969841003418},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4612051844596863},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4520431160926819},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4505397379398346},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.4164992570877075},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27260738611221313},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20572489500045776},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12459889054298401},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-007-9112-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-007-9112-3","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":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W1486898453","https://openalex.org/W1493424669","https://openalex.org/W1499237070","https://openalex.org/W1508193711","https://openalex.org/W1512848798","https://openalex.org/W1532520539","https://openalex.org/W1536961397","https://openalex.org/W1537812362","https://openalex.org/W1542628081","https://openalex.org/W1545473754","https://openalex.org/W1550863203","https://openalex.org/W1551926475","https://openalex.org/W1557027117","https://openalex.org/W1562208741","https://openalex.org/W1589700598","https://openalex.org/W1592482282","https://openalex.org/W1856579238","https://openalex.org/W1961022628","https://openalex.org/W1981326822","https://openalex.org/W1999938992","https://openalex.org/W2011565494","https://openalex.org/W2018624813","https://openalex.org/W2026129593","https://openalex.org/W2050689197","https://openalex.org/W2075491429","https://openalex.org/W2075917111","https://openalex.org/W2080017147","https://openalex.org/W2087244305","https://openalex.org/W2088708578","https://openalex.org/W2100440346","https://openalex.org/W2101040389","https://openalex.org/W2111416661","https://openalex.org/W2126897083","https://openalex.org/W2130614344","https://openalex.org/W2134863191","https://openalex.org/W2141040012","https://openalex.org/W2142040177","https://openalex.org/W2144560442","https://openalex.org/W2147906334","https://openalex.org/W2156605838","https://openalex.org/W2316592221","https://openalex.org/W2951232592","https://openalex.org/W2972588704","https://openalex.org/W4212894907","https://openalex.org/W4241565825","https://openalex.org/W4285719527","https://openalex.org/W4292027090","https://openalex.org/W4293860921","https://openalex.org/W6629001131","https://openalex.org/W6680221464"],"related_works":["https://openalex.org/W2011090873","https://openalex.org/W2101130532","https://openalex.org/W4205806207","https://openalex.org/W2054944103","https://openalex.org/W4237723644","https://openalex.org/W2075917111","https://openalex.org/W1998710200","https://openalex.org/W2057463668","https://openalex.org/W2161451071","https://openalex.org/W4245312627"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
