{"id":"https://openalex.org/W3196873669","doi":"https://doi.org/10.3233/fi-2021-2060","title":"Compression on the Twisted Jacobi Intersection","display_name":"Compression on the Twisted Jacobi Intersection","publication_year":2021,"publication_date":"2021-08-04","ids":{"openalex":"https://openalex.org/W3196873669","doi":"https://doi.org/10.3233/fi-2021-2060","mag":"3196873669"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2021-2060","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2021-2060","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","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":"https://openalex.org/A5064353222","display_name":"Robert Dry\u0142o","orcid":null},"institutions":[{"id":"https://openalex.org/I18193975","display_name":"SGH Warsaw School of Economics","ror":"https://ror.org/032cph770","country_code":"PL","type":"education","lineage":["https://openalex.org/I18193975"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Robert Dry\u0142o","raw_affiliation_strings":["Warsaw School of Economics, Aleja Niepodleg\u0142o\u015bci 162, 02-554 Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Warsaw School of Economics, Aleja Niepodleg\u0142o\u015bci 162, 02-554 Warsaw, Poland","institution_ids":["https://openalex.org/I18193975"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5064353222"],"corresponding_institution_ids":["https://openalex.org/I18193975"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18052814,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"181","issue":"4","first_page":"303","last_page":"312"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9800000190734863,"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":0.9800000190734863,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9399999976158142,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9185000061988831,"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/scalar-multiplication","display_name":"Scalar multiplication","score":0.822005033493042},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6943737268447876},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.6721728444099426},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.6435633897781372},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.5001325607299805},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4876471757888794},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.44165679812431335},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37804552912712097},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.37221503257751465},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3440488576889038},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2612711191177368},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1578386425971985},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0614645779132843}],"concepts":[{"id":"https://openalex.org/C171182647","wikidata":"https://www.wikidata.org/wiki/Q126736","display_name":"Scalar multiplication","level":3,"score":0.822005033493042},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6943737268447876},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.6721728444099426},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.6435633897781372},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.5001325607299805},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4876471757888794},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.44165679812431335},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37804552912712097},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.37221503257751465},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3440488576889038},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2612711191177368},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1578386425971985},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0614645779132843},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/fi-2021-2060","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2021-2060","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.5899999737739563}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2034604290","https://openalex.org/W2867317277","https://openalex.org/W1576294153","https://openalex.org/W2078886092","https://openalex.org/W2362283711","https://openalex.org/W2002792918","https://openalex.org/W2360049128","https://openalex.org/W1485234189","https://openalex.org/W4386773944","https://openalex.org/W2495172928"],"abstract_inverted_index":{"Formulas":[0],"for":[1,12,21,47,74,78,95,106],"doubling,":[2],"differential":[3,107],"addition":[4],"and":[5,19,31,97,116],"point":[6,32],"recovery":[7,33],"after":[8,24,37],"compression":[9,25],"were":[10,71],"given":[11,73],"many":[13],"standard":[14],"models":[15],"of":[16,129],"elliptic":[17],"curves,":[18],"allow":[20],"scalar":[22],"multiplication":[23,117],"using":[26],"the":[27,48,79],"Montgomery":[28],"ladder":[29],"algorithm":[30],"on":[34],"a":[35,121],"curve":[36,126],"this":[38,41,75],"multiplication.":[39],"In":[40,82],"paper":[42],"we":[43],"give":[44],"such":[45,69],"formulas":[46,70,86],"twisted":[49],"Jacobi":[50,80],"intersection":[51],"au":[52],"2":[53,56,60,63,89,101],"+":[54,61,100,103],"v":[55],"=":[57,64],"1,":[58],"bu":[59],"w":[62],"1.":[65],"To":[66],"our":[67],"knowledge":[68],"not":[72],"model":[76],"or":[77],"intersection.":[81],"projective":[83],"coordinates":[84],"these":[85],"have":[87],"cost":[88,128],"M":[90,99],"+2":[91],"S":[92,102],"+6":[93],"D":[94,105,112,130],"doubling":[96],"5":[98],"6":[104],"addition,":[108],"where":[109],"M;":[110],"S;":[111],"are":[113],"multiplication,":[114],"squaring":[115],"by":[118],"constants":[119],"in":[120],"field,":[122],"respectively,":[123],"choosing":[124],"suitable":[125],"parameters":[127],"may":[131],"be":[132],"small.":[133]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}