{"id":"https://openalex.org/W1602477339","doi":"https://doi.org/10.1007/3-540-45624-4_28","title":"On the Generalised Hidden Number Problem and Bit Security of XTR","display_name":"On the Generalised Hidden Number Problem and Bit Security of XTR","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W1602477339","doi":"https://doi.org/10.1007/3-540-45624-4_28","mag":"1602477339"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45624-4_28","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45624-4_28","pdf_url":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030033231","display_name":"Igor E. Shparlinski","orcid":"https://orcid.org/0000-0002-5246-9391"},"institutions":[{"id":"https://openalex.org/I99043593","display_name":"Macquarie University","ror":"https://ror.org/01sf06y89","country_code":"AU","type":"education","lineage":["https://openalex.org/I99043593"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Igor E. Shparlinski","raw_affiliation_strings":["Department of Computing, Macquarie University, Sydney, Australia","Macquarie University"],"affiliations":[{"raw_affiliation_string":"Department of Computing, Macquarie University, Sydney, Australia","institution_ids":["https://openalex.org/I99043593"]},{"raw_affiliation_string":"Macquarie University","institution_ids":["https://openalex.org/I99043593"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5030033231"],"corresponding_institution_ids":["https://openalex.org/I99043593"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.2228,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.92773678,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"268","last_page":"277"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9998999834060669,"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/T10237","display_name":"Cryptography and Data Security","score":0.9998999834060669,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9990000128746033,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.8204694986343384},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7579865455627441},{"id":"https://openalex.org/keywords/bit","display_name":"Bit (key)","score":0.611431360244751},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5667603015899658},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5010440349578857},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.446856290102005},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.38691186904907227},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3650578260421753},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.2632948160171509},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19124668836593628}],"concepts":[{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.8204694986343384},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7579865455627441},{"id":"https://openalex.org/C117011727","wikidata":"https://www.wikidata.org/wiki/Q1278488","display_name":"Bit (key)","level":2,"score":0.611431360244751},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5667603015899658},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5010440349578857},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.446856290102005},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.38691186904907227},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3650578260421753},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.2632948160171509},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19124668836593628},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-45624-4_28","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45624-4_28","pdf_url":null,"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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W191763761","https://openalex.org/W1490511862","https://openalex.org/W1495511016","https://openalex.org/W1505183389","https://openalex.org/W1513014354","https://openalex.org/W1520399166","https://openalex.org/W1558184486","https://openalex.org/W1571393139","https://openalex.org/W1580599221","https://openalex.org/W1592441913","https://openalex.org/W1602506982","https://openalex.org/W1969351387","https://openalex.org/W1984313153","https://openalex.org/W1989510734","https://openalex.org/W2020638838","https://openalex.org/W2026129593","https://openalex.org/W2058546698","https://openalex.org/W2096221836","https://openalex.org/W2113769315","https://openalex.org/W2124831650","https://openalex.org/W2141040012","https://openalex.org/W2147011509","https://openalex.org/W2175796176","https://openalex.org/W2613956024","https://openalex.org/W3150881812","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2411923897","https://openalex.org/W4285347720","https://openalex.org/W4200259850","https://openalex.org/W2333831899","https://openalex.org/W2484894494","https://openalex.org/W2367385042","https://openalex.org/W4232705780","https://openalex.org/W2965484163","https://openalex.org/W2512006651","https://openalex.org/W2096221836"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}