{"id":"https://openalex.org/W2120285363","doi":"https://doi.org/10.1109/isda.2013.6920717","title":"Prime order elliptic curve generation methods: A review","display_name":"Prime order elliptic curve generation methods: A review","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W2120285363","doi":"https://doi.org/10.1109/isda.2013.6920717","mag":"2120285363"},"language":"en","primary_location":{"id":"doi:10.1109/isda.2013.6920717","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isda.2013.6920717","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 13th International Conference on Intellient Systems Design and Applications","raw_type":"proceedings-article"},"type":"conference-paper","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/A5079762944","display_name":"Saeid Bakhtiari","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Saeid Bakhtiari","raw_affiliation_strings":["Dept. of Computer Science, University Technology Malaysia, Johor, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, University Technology Malaysia, Johor, Malaysia","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035725497","display_name":"Subariah Ibrahim","orcid":"https://orcid.org/0000-0002-6822-1243"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Subariah Ibrahim","raw_affiliation_strings":["Dept. of Computer Science, University Technology Malaysia, Johor, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, University Technology Malaysia, Johor, Malaysia","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033426232","display_name":"Mazleena Salleh","orcid":"https://orcid.org/0000-0003-4741-8255"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mazleena Salleh","raw_affiliation_strings":["Dept. of Computer Science, University Technology Malaysia, Johor, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, University Technology Malaysia, Johor, Malaysia","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008210760","display_name":"Majid Bakhtiari","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Majid Bakhtiari","raw_affiliation_strings":["Dept. of Computer Science, University Technology Malaysia, Johor, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, University Technology Malaysia, Johor, Malaysia","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.21241064,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"109","last_page":"114"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9896000027656555,"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":0.9690999984741211,"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/prime","display_name":"Prime (order theory)","score":0.6931886672973633},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.6519899964332581},{"id":"https://openalex.org/keywords/schoofs-algorithm","display_name":"Schoof's algorithm","score":0.5955095291137695},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5694053769111633},{"id":"https://openalex.org/keywords/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.4956425428390503},{"id":"https://openalex.org/keywords/elliptic-curve-point-multiplication","display_name":"Elliptic curve point multiplication","score":0.4894312918186188},{"id":"https://openalex.org/keywords/hessian-form-of-an-elliptic-curve","display_name":"Hessian form of an elliptic curve","score":0.4875132739543915},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4427642822265625},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4420577883720398},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.28104090690612793},{"id":"https://openalex.org/keywords/quarter-period","display_name":"Quarter period","score":0.1716964840888977},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13684624433517456},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.12841054797172546},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.12382063269615173},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.11813336610794067},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.081946462392807}],"concepts":[{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.6931886672973633},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.6519899964332581},{"id":"https://openalex.org/C121444067","wikidata":"https://www.wikidata.org/wiki/Q2835817","display_name":"Schoof's algorithm","level":4,"score":0.5955095291137695},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5694053769111633},{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.4956425428390503},{"id":"https://openalex.org/C117121985","wikidata":"https://www.wikidata.org/wiki/Q78380999","display_name":"Elliptic curve point multiplication","level":3,"score":0.4894312918186188},{"id":"https://openalex.org/C104993295","wikidata":"https://www.wikidata.org/wiki/Q17023345","display_name":"Hessian form of an elliptic curve","level":5,"score":0.4875132739543915},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4427642822265625},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4420577883720398},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28104090690612793},{"id":"https://openalex.org/C197875053","wikidata":"https://www.wikidata.org/wiki/Q7269266","display_name":"Quarter period","level":3,"score":0.1716964840888977},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13684624433517456},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.12841054797172546},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.12382063269615173},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.11813336610794067},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.081946462392807},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isda.2013.6920717","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isda.2013.6920717","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 13th International Conference on Intellient Systems Design and Applications","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320337392","display_name":"Division of Electrical, Communications and Cyber Systems","ror":"https://ror.org/01krpsy48"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W111245431","https://openalex.org/W147739312","https://openalex.org/W194261918","https://openalex.org/W351749124","https://openalex.org/W1482196702","https://openalex.org/W1494149592","https://openalex.org/W1496801598","https://openalex.org/W1506716105","https://openalex.org/W1578321116","https://openalex.org/W1592291427","https://openalex.org/W1606497022","https://openalex.org/W1785154484","https://openalex.org/W1870560476","https://openalex.org/W1956043843","https://openalex.org/W2023064581","https://openalex.org/W2040002937","https://openalex.org/W2045789348","https://openalex.org/W2046569422","https://openalex.org/W2065592011","https://openalex.org/W2067361453","https://openalex.org/W2108558890","https://openalex.org/W2109846861","https://openalex.org/W2119822741","https://openalex.org/W2122245546","https://openalex.org/W2147213339","https://openalex.org/W2147515928","https://openalex.org/W2150780572","https://openalex.org/W2357795369","https://openalex.org/W2499728130","https://openalex.org/W4285719527","https://openalex.org/W4292027090","https://openalex.org/W6682251725","https://openalex.org/W6706748931"],"related_works":["https://openalex.org/W2548082687","https://openalex.org/W2377656850","https://openalex.org/W2121110380","https://openalex.org/W3172172454","https://openalex.org/W2178481614","https://openalex.org/W2393764411","https://openalex.org/W3211097549","https://openalex.org/W1634503271","https://openalex.org/W1577956677","https://openalex.org/W4226476440"],"abstract_inverted_index":{"In":[0],"term":[1],"of":[2,24,28,31,44],"security,":[3],"elliptic":[4,37],"curves":[5],"(ECs)":[6],"with":[7],"prime":[8,35],"group":[9],"orders":[10],"are":[11],"absolutely":[12],"indispensable":[13],"for":[14,33,47],"cryptosystem":[15],"construction.":[16],"This":[17],"paper":[18],"is":[19],"confined":[20],"to":[21,42],"a":[22,29],"discussion":[23],"benefits":[25],"and":[26],"drawbacks":[27],"couple":[30],"methods":[32],"generating":[34],"order":[36],"curves,":[38],"as":[39,41],"well":[40],"delineation":[43],"their":[45],"efficiencies":[46],"related":[48],"cases.":[49]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}