{"id":"https://openalex.org/W7083433306","doi":"https://doi.org/10.1007/s13389-025-00382-8","title":"Friendly primes for efficient modular arithmetic using the Polynomial Modular Number System","display_name":"Friendly primes for efficient modular arithmetic using the Polynomial Modular Number System","publication_year":2025,"publication_date":"2025-09-01","ids":{"openalex":"https://openalex.org/W7083433306","doi":"https://doi.org/10.1007/s13389-025-00382-8"},"language":"en","primary_location":{"id":"doi:10.1007/s13389-025-00382-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s13389-025-00382-8","pdf_url":null,"source":{"id":"https://openalex.org/S2764800400","display_name":"Journal of Cryptographic Engineering","issn_l":"2190-8508","issn":["2190-8508","2190-8516"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Cryptographic Engineering","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":null,"display_name":"Fangan Yssouf Dosso","orcid":null},"institutions":[{"id":"https://openalex.org/I3019848993","display_name":"Mines Saint-\u00c9tienne","ror":"https://ror.org/05a1dws80","country_code":"FR","type":"education","lineage":["https://openalex.org/I203339264","https://openalex.org/I205703379","https://openalex.org/I3019848993"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Fangan Yssouf Dosso","raw_affiliation_strings":["SAS Laboratory, \u00c9cole des Mines de Saint-\u00c9tienne, Gardanne, France"],"affiliations":[{"raw_affiliation_string":"SAS Laboratory, \u00c9cole des Mines de Saint-\u00c9tienne, Gardanne, France","institution_ids":["https://openalex.org/I3019848993"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Nadia El Mrabet","orcid":null},"institutions":[{"id":"https://openalex.org/I3019848993","display_name":"Mines Saint-\u00c9tienne","ror":"https://ror.org/05a1dws80","country_code":"FR","type":"education","lineage":["https://openalex.org/I203339264","https://openalex.org/I205703379","https://openalex.org/I3019848993"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nadia El Mrabet","raw_affiliation_strings":["SAS Laboratory, \u00c9cole des Mines de Saint-\u00c9tienne, Gardanne, France"],"affiliations":[{"raw_affiliation_string":"SAS Laboratory, \u00c9cole des Mines de Saint-\u00c9tienne, Gardanne, France","institution_ids":["https://openalex.org/I3019848993"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Nicolas M\u00e9loni","orcid":null},"institutions":[{"id":"https://openalex.org/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nicolas M\u00e9loni","raw_affiliation_strings":["Institut de Math\u00e9matiques, Universit\u00e9 de Toulon, Toulon, France"],"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques, Universit\u00e9 de Toulon, Toulon, France","institution_ids":["https://openalex.org/I143002897"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Fran\u00e7ois Palma","orcid":null},"institutions":[{"id":"https://openalex.org/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fran\u00e7ois Palma","raw_affiliation_strings":["Institut de Math\u00e9matiques, Universit\u00e9 de Toulon, Toulon, France"],"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques, Universit\u00e9 de Toulon, Toulon, France","institution_ids":["https://openalex.org/I143002897"]}]},{"author_position":"last","author":{"id":null,"display_name":"Pascal V\u00e9ron","orcid":null},"institutions":[{"id":"https://openalex.org/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pascal V\u00e9ron","raw_affiliation_strings":["Institut de Math\u00e9matiques, Universit\u00e9 de Toulon, Toulon, France"],"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques, Universit\u00e9 de Toulon, Toulon, France","institution_ids":["https://openalex.org/I143002897"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I3019848993"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.74277244,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T12380","display_name":"Authorship Attribution and Profiling","score":0.9894999861717224,"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/T12380","display_name":"Authorship Attribution and Profiling","score":0.9894999861717224,"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/T11644","display_name":"Spam and Phishing Detection","score":0.0010999999940395355,"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/T12262","display_name":"Hate Speech and Cyberbullying Detection","score":0.000699999975040555,"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/modular-arithmetic","display_name":"Modular arithmetic","score":0.7346000075340271},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.7016000151634216},{"id":"https://openalex.org/keywords/modular-elliptic-curve","display_name":"Modular elliptic curve","score":0.6769999861717224},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5680999755859375},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.5210000276565552},{"id":"https://openalex.org/keywords/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.5160999894142151},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4415999948978424},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.43970000743865967}],"concepts":[{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.7346000075340271},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.7016000151634216},{"id":"https://openalex.org/C73683783","wikidata":"https://www.wikidata.org/wiki/Q2728886","display_name":"Modular elliptic curve","level":4,"score":0.6769999861717224},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6499000191688538},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5680999755859375},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.5210000276565552},{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.5160999894142151},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.48739999532699585},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4864000082015991},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4415999948978424},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.43970000743865967},{"id":"https://openalex.org/C113429393","wikidata":"https://www.wikidata.org/wiki/Q49008","display_name":"Prime number","level":2,"score":0.424699991941452},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4246000051498413},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4189999997615814},{"id":"https://openalex.org/C59766168","wikidata":"https://www.wikidata.org/wiki/Q3001220","display_name":"Modular curve","level":3,"score":0.3808000087738037},{"id":"https://openalex.org/C121444067","wikidata":"https://www.wikidata.org/wiki/Q2835817","display_name":"Schoof's algorithm","level":4,"score":0.3589000105857849},{"id":"https://openalex.org/C169654258","wikidata":"https://www.wikidata.org/wiki/Q12479","display_name":"Number theory","level":2,"score":0.3398999869823456},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.31349998712539673},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.296999990940094},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29510000348091125},{"id":"https://openalex.org/C117121985","wikidata":"https://www.wikidata.org/wiki/Q78380999","display_name":"Elliptic curve point multiplication","level":3,"score":0.290800005197525},{"id":"https://openalex.org/C68782407","wikidata":"https://www.wikidata.org/wiki/Q5177153","display_name":"Counting points on elliptic curves","level":5,"score":0.28929999470710754},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.27970001101493835},{"id":"https://openalex.org/C30860621","wikidata":"https://www.wikidata.org/wiki/Q49008","display_name":"Prime factor","level":3,"score":0.25209999084472656}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s13389-025-00382-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s13389-025-00382-8","pdf_url":null,"source":{"id":"https://openalex.org/S2764800400","display_name":"Journal of Cryptographic Engineering","issn_l":"2190-8508","issn":["2190-8508","2190-8516"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Cryptographic Engineering","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-05317285v1","is_oa":false,"landing_page_url":"https://hal.science/hal-05317285","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Cryptographic Engineering, 2025, 15 (3), pp.18. ⟨10.1007/s13389-025-00382-8⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Partnerships for the goals","score":0.4392985701560974,"id":"https://metadata.un.org/sdg/17"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1529207657","https://openalex.org/W1546795849","https://openalex.org/W1576391039","https://openalex.org/W1576555092","https://openalex.org/W1910751411","https://openalex.org/W2017533742","https://openalex.org/W2052896737","https://openalex.org/W2082115687","https://openalex.org/W2141040012","https://openalex.org/W2149789050","https://openalex.org/W2999104950","https://openalex.org/W2999742247","https://openalex.org/W3108296941","https://openalex.org/W3216447851","https://openalex.org/W4238489403","https://openalex.org/W4285194476","https://openalex.org/W4386626931"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}