{"id":"https://openalex.org/W1864088098","doi":"https://doi.org/10.1007/978-3-642-36424-2_23","title":"Arithmetic Unit for Computations in GF(p) with the Left-Shifting Multiplicative Inverse Algorithm","display_name":"Arithmetic Unit for Computations in GF(p) with the Left-Shifting Multiplicative Inverse Algorithm","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1864088098","doi":"https://doi.org/10.1007/978-3-642-36424-2_23","mag":"1864088098"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-36424-2_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-36424-2_23","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/A5021907158","display_name":"Josef Hlav\u00e1\u010d","orcid":null},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Josef Hlav\u00e1\u010d","raw_affiliation_strings":["Faculty of Information Technology, Czech Technical University in Prague, Praha, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Information Technology, Czech Technical University in Prague, Praha, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071351394","display_name":"R\u00f3bert L\u00f3rencz","orcid":"https://orcid.org/0000-0001-5444-8511"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"R\u00f3bert L\u00f3rencz","raw_affiliation_strings":["Faculty of Information Technology, Czech Technical University in Prague, Praha, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Information Technology, Czech Technical University in Prague, Praha, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.17775444,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"268","last_page":"279"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9829999804496765,"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/T10237","display_name":"Cryptography and Data Security","score":0.9768999814987183,"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/multiplicative-inverse","display_name":"Multiplicative inverse","score":0.8195732831954956},{"id":"https://openalex.org/keywords/finite-field-arithmetic","display_name":"Finite field arithmetic","score":0.7575113773345947},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.6684857606887817},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.589871883392334},{"id":"https://openalex.org/keywords/galois-theory","display_name":"Galois theory","score":0.5823372602462769},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5588786602020264},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5374338030815125},{"id":"https://openalex.org/keywords/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.5214200019836426},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5192403793334961},{"id":"https://openalex.org/keywords/gf","display_name":"GF(2)","score":0.5179697275161743},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.48721760511398315},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.47062066197395325},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.4690537750720978},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4611968994140625},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4528350830078125},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.42817455530166626},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3687337636947632},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.16946008801460266},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.128848135471344},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1064155101776123},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.09643959999084473}],"concepts":[{"id":"https://openalex.org/C157351203","wikidata":"https://www.wikidata.org/wiki/Q216906","display_name":"Multiplicative inverse","level":3,"score":0.8195732831954956},{"id":"https://openalex.org/C189178079","wikidata":"https://www.wikidata.org/wiki/Q5450398","display_name":"Finite field arithmetic","level":3,"score":0.7575113773345947},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6684857606887817},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.589871883392334},{"id":"https://openalex.org/C94398972","wikidata":"https://www.wikidata.org/wiki/Q92552","display_name":"Galois theory","level":2,"score":0.5823372602462769},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5588786602020264},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5374338030815125},{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.5214200019836426},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5192403793334961},{"id":"https://openalex.org/C156350748","wikidata":"https://www.wikidata.org/wiki/Q5513324","display_name":"GF(2)","level":3,"score":0.5179697275161743},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.48721760511398315},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.47062066197395325},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.4690537750720978},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4611968994140625},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4528350830078125},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.42817455530166626},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3687337636947632},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.16946008801460266},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.128848135471344},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1064155101776123},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.09643959999084473},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-36424-2_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-36424-2_23","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W604490888","https://openalex.org/W1499231268","https://openalex.org/W1510132093","https://openalex.org/W1518757390","https://openalex.org/W1933034317","https://openalex.org/W1969828557","https://openalex.org/W1981998307","https://openalex.org/W2004814164","https://openalex.org/W2066709282","https://openalex.org/W2095980444","https://openalex.org/W2117634280","https://openalex.org/W2157672296","https://openalex.org/W2335502549","https://openalex.org/W2496045601","https://openalex.org/W2544817423","https://openalex.org/W2752853835","https://openalex.org/W3083932639","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4387838227","https://openalex.org/W1562956146","https://openalex.org/W1574908871","https://openalex.org/W1887380720","https://openalex.org/W1587142857","https://openalex.org/W3128023985","https://openalex.org/W2951463244","https://openalex.org/W1978745619","https://openalex.org/W1770679863","https://openalex.org/W172172592"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
