{"id":"https://openalex.org/W1493424669","doi":"https://doi.org/10.1007/3-540-46513-8_3","title":"Elliptic Curve Pseudorandom Sequence Generators","display_name":"Elliptic Curve Pseudorandom Sequence Generators","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1493424669","doi":"https://doi.org/10.1007/3-540-46513-8_3","mag":"1493424669"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-46513-8_3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-46513-8_3","pdf_url":"https://link.springer.com/content/pdf/10.1007/3-540-46513-8_3.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/3-540-46513-8_3.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036636567","display_name":"Guang Gong","orcid":"https://orcid.org/0000-0003-2684-9259"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Guang Gong","raw_affiliation_strings":["Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087240382","display_name":"Thomas A. Berson","orcid":null},"institutions":[{"id":"https://openalex.org/I4210163992","display_name":"RAM Laboratories (United States)","ror":"https://ror.org/04vn3x119","country_code":"US","type":"company","lineage":["https://openalex.org/I4210163992"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thomas A. Berson","raw_affiliation_strings":["Anagram Laboratories, P.O. Box 791, Palo Alto, CA, 94301, USA"],"affiliations":[{"raw_affiliation_string":"Anagram Laboratories, P.O. Box 791, Palo Alto, CA, 94301, USA","institution_ids":["https://openalex.org/I4210163992"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021938024","display_name":"Douglas R. Stinson","orcid":"https://orcid.org/0000-0001-5635-8122"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Douglas R. Stinson","raw_affiliation_strings":["Department of Combinatorics & Optimization, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Combinatorics & Optimization, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5036636567"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.2989,"has_fulltext":true,"cited_by_count":64,"citation_normalized_percentile":{"value":0.86739199,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"34","last_page":"48"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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":0.9998000264167786,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9991999864578247,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.7879936695098877},{"id":"https://openalex.org/keywords/pseudorandom-binary-sequence","display_name":"Pseudorandom binary sequence","score":0.6399490237236023},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6182504892349243},{"id":"https://openalex.org/keywords/supersingular-elliptic-curve","display_name":"Supersingular elliptic curve","score":0.5979873538017273},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.5931859016418457},{"id":"https://openalex.org/keywords/trace","display_name":"TRACE (psycholinguistics)","score":0.5581406950950623},{"id":"https://openalex.org/keywords/elliptic-curve-point-multiplication","display_name":"Elliptic curve point multiplication","score":0.550009548664093},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5208697319030762},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5172106027603149},{"id":"https://openalex.org/keywords/schoofs-algorithm","display_name":"Schoof's algorithm","score":0.4935399293899536},{"id":"https://openalex.org/keywords/pseudorandom-generator-theorem","display_name":"Pseudorandom generator theorem","score":0.48519280552864075},{"id":"https://openalex.org/keywords/jacobian-curve","display_name":"Jacobian curve","score":0.41258424520492554},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4065844416618347},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3961222469806671},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3735756278038025},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.2674487233161926},{"id":"https://openalex.org/keywords/pseudorandomness","display_name":"Pseudorandomness","score":0.21653589606285095},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15406551957130432},{"id":"https://openalex.org/keywords/quarter-period","display_name":"Quarter period","score":0.07997334003448486}],"concepts":[{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.7879936695098877},{"id":"https://openalex.org/C128040838","wikidata":"https://www.wikidata.org/wiki/Q1810628","display_name":"Pseudorandom binary sequence","level":3,"score":0.6399490237236023},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6182504892349243},{"id":"https://openalex.org/C157567686","wikidata":"https://www.wikidata.org/wiki/Q7644139","display_name":"Supersingular elliptic curve","level":3,"score":0.5979873538017273},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.5931859016418457},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.5581406950950623},{"id":"https://openalex.org/C117121985","wikidata":"https://www.wikidata.org/wiki/Q78380999","display_name":"Elliptic curve point multiplication","level":3,"score":0.550009548664093},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5208697319030762},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5172106027603149},{"id":"https://openalex.org/C121444067","wikidata":"https://www.wikidata.org/wiki/Q2835817","display_name":"Schoof's algorithm","level":4,"score":0.4935399293899536},{"id":"https://openalex.org/C180233235","wikidata":"https://www.wikidata.org/wiki/Q7255475","display_name":"Pseudorandom generator theorem","level":4,"score":0.48519280552864075},{"id":"https://openalex.org/C79993320","wikidata":"https://www.wikidata.org/wiki/Q6119657","display_name":"Jacobian curve","level":5,"score":0.41258424520492554},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4065844416618347},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3961222469806671},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3735756278038025},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.2674487233161926},{"id":"https://openalex.org/C19086982","wikidata":"https://www.wikidata.org/wiki/Q2115856","display_name":"Pseudorandomness","level":3,"score":0.21653589606285095},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15406551957130432},{"id":"https://openalex.org/C197875053","wikidata":"https://www.wikidata.org/wiki/Q7269266","display_name":"Quarter period","level":3,"score":0.07997334003448486},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/3-540-46513-8_3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-46513-8_3","pdf_url":"https://link.springer.com/content/pdf/10.1007/3-540-46513-8_3.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.32.9891","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.32.9891","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cacr.math.uwaterloo.ca/~ggong/EC-SAC-Final.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.34.5552","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.34.5552","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cacr.math.uwaterloo.ca/~dstinson/papers/EC-SAC-Final.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.53.7911","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.53.7911","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cacr.math.uwaterloo.ca/techreports/1998/corr98-53.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.90.7561","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.90.7561","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.anagram.com/berson/ecpsg99.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/3-540-46513-8_3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-46513-8_3","pdf_url":"https://link.springer.com/content/pdf/10.1007/3-540-46513-8_3.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1493424669.pdf","grobid_xml":"https://content.openalex.org/works/W1493424669.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1480210121","https://openalex.org/W1483146663","https://openalex.org/W1531434127","https://openalex.org/W1601090496","https://openalex.org/W1606480398","https://openalex.org/W1608415167","https://openalex.org/W2007142772","https://openalex.org/W2007453203","https://openalex.org/W2018332397","https://openalex.org/W2024483577","https://openalex.org/W2043926312","https://openalex.org/W2061106457","https://openalex.org/W2067096554","https://openalex.org/W2095675264","https://openalex.org/W2098296467","https://openalex.org/W2107324709","https://openalex.org/W2111086843","https://openalex.org/W2113980068","https://openalex.org/W2128718974","https://openalex.org/W2135733034","https://openalex.org/W2136646315","https://openalex.org/W2148575324","https://openalex.org/W2150276672","https://openalex.org/W2154271831","https://openalex.org/W2164284862","https://openalex.org/W2488547546","https://openalex.org/W2497291046","https://openalex.org/W2592570088","https://openalex.org/W3163354005","https://openalex.org/W4229486470","https://openalex.org/W6783737802","https://openalex.org/W6794365828"],"related_works":["https://openalex.org/W1921672120","https://openalex.org/W2548082687","https://openalex.org/W1851253658","https://openalex.org/W3211097549","https://openalex.org/W3138493780","https://openalex.org/W2121110380","https://openalex.org/W1976871117","https://openalex.org/W2355104288","https://openalex.org/W2071707911","https://openalex.org/W2403854924"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}