{"id":"https://openalex.org/W1624951001","doi":"https://doi.org/10.1007/978-3-540-77026-8_5","title":"A Result on the Distribution of Quadratic Residues with Applications to Elliptic Curve Cryptography","display_name":"A Result on the Distribution of Quadratic Residues with Applications to Elliptic Curve Cryptography","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W1624951001","doi":"https://doi.org/10.1007/978-3-540-77026-8_5","mag":"1624951001"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-77026-8_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-77026-8_5","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/A5005908865","display_name":"N. Minh","orcid":"https://orcid.org/0000-0001-5132-4986"},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Muralidhara V.N.","raw_affiliation_strings":["Department of Computer Science and Engineering, Indian Institute of Technology, Delhi, Hauz Khas, New Delhi 110 016, India","Department of Computer Science and Engineering, Indian Institute of Technology-Delhi, New Delhi, India#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Indian Institute of Technology, Delhi, Hauz Khas, New Delhi 110 016, India","institution_ids":["https://openalex.org/I68891433"]},{"raw_affiliation_string":"Department of Computer Science and Engineering, Indian Institute of Technology-Delhi, New Delhi, India#TAB#","institution_ids":["https://openalex.org/I68891433"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110042808","display_name":"Sandeep Sen","orcid":"https://orcid.org/0009-0004-1562-8746"},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sandeep Sen","raw_affiliation_strings":["Department of Computer Science and Engineering, Indian Institute of Technology, Delhi, Hauz Khas, New Delhi 110 016, India","Department of Computer Science and Engineering, Indian Institute of Technology-Delhi, New Delhi, India#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Indian Institute of Technology, Delhi, Hauz Khas, New Delhi 110 016, India","institution_ids":["https://openalex.org/I68891433"]},{"raw_affiliation_string":"Department of Computer Science and Engineering, Indian Institute of Technology-Delhi, New Delhi, India#TAB#","institution_ids":["https://openalex.org/I68891433"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I68891433"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.3797,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.67485929,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"48","last_page":"57"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9997000098228455,"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":0.9997000098228455,"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/T11130","display_name":"Coding theory and cryptography","score":0.9990000128746033,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quadratic-residue","display_name":"Quadratic residue","score":0.7753047347068787},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.6291953921318054},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5792309641838074},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.530573308467865},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5264533162117004},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.49076470732688904},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47542527318000793},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4693979322910309},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4493301212787628},{"id":"https://openalex.org/keywords/elliptic-curve-point-multiplication","display_name":"Elliptic curve point multiplication","score":0.443778395652771},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4435860514640808},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4296308159828186},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4142003059387207},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4009179472923279},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3628607392311096},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.25414037704467773},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23668694496154785},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15564784407615662},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14351502060890198}],"concepts":[{"id":"https://openalex.org/C12817185","wikidata":"https://www.wikidata.org/wiki/Q878259","display_name":"Quadratic residue","level":2,"score":0.7753047347068787},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.6291953921318054},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5792309641838074},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.530573308467865},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5264533162117004},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.49076470732688904},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47542527318000793},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4693979322910309},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4493301212787628},{"id":"https://openalex.org/C117121985","wikidata":"https://www.wikidata.org/wiki/Q78380999","display_name":"Elliptic curve point multiplication","level":3,"score":0.443778395652771},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4435860514640808},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4296308159828186},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4142003059387207},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4009179472923279},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3628607392311096},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25414037704467773},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23668694496154785},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15564784407615662},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14351502060890198}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-540-77026-8_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-77026-8_5","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.108.8459","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.108.8459","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cse.iitd.ernet.in/~ssen/conf/indocrypt07.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W145145483","https://openalex.org/W1498993177","https://openalex.org/W1511374591","https://openalex.org/W1538333734","https://openalex.org/W1987380455","https://openalex.org/W2008272678","https://openalex.org/W2019816098","https://openalex.org/W2042173287","https://openalex.org/W2045610966","https://openalex.org/W2128718974","https://openalex.org/W2613956024","https://openalex.org/W4230398518","https://openalex.org/W4237382203","https://openalex.org/W4246140522"],"related_works":["https://openalex.org/W2361739074","https://openalex.org/W2386771576","https://openalex.org/W2094299806","https://openalex.org/W2531006145","https://openalex.org/W3013860442","https://openalex.org/W2380027749","https://openalex.org/W2162670020","https://openalex.org/W2296497681","https://openalex.org/W2350248784","https://openalex.org/W1527584030"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
