{"id":"https://openalex.org/W1825396486","doi":"https://doi.org/10.1007/3-540-44709-1_18","title":"A Bit-Serial Unified Multiplier Architecture for Finite Fields GF(p) and GF(2m)","display_name":"A Bit-Serial Unified Multiplier Architecture for Finite Fields GF(p) and GF(2m)","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W1825396486","doi":"https://doi.org/10.1007/3-540-44709-1_18","mag":"1825396486"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-44709-1_18","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-44709-1_18","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-44709-1_18.pdf","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":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-44709-1_18.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089125756","display_name":"Johann Gro\u00dfsch\u00e4dl","orcid":"https://orcid.org/0009-0006-3210-3102"},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Johann Gro\u00dfsch\u00e4dl","raw_affiliation_strings":["Institute for Applied Information Processing and Communications, Graz University of Technology, Inffeldgasse 16a, A-8010, Graz, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Applied Information Processing and Communications, Graz University of Technology, Inffeldgasse 16a, A-8010, Graz, Austria","institution_ids":["https://openalex.org/I4092182"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5089125756"],"corresponding_institution_ids":["https://openalex.org/I4092182"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.5642,"has_fulltext":true,"cited_by_count":49,"citation_normalized_percentile":{"value":0.91783738,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"202","last_page":"219"},"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":0.9922000169754028,"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":0.9818999767303467,"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/gf","display_name":"GF(2)","score":0.9433468580245972},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.85909503698349},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.6993436813354492},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.6169065237045288},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5376433730125427},{"id":"https://openalex.org/keywords/finite-field-arithmetic","display_name":"Finite field arithmetic","score":0.5263239741325378},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.5201088190078735},{"id":"https://openalex.org/keywords/polynomial-basis","display_name":"Polynomial basis","score":0.4750611484050751},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.4712778925895691},{"id":"https://openalex.org/keywords/multiplication-algorithm","display_name":"Multiplication algorithm","score":0.4426485002040863},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.4401780664920807},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4395488202571869},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.43508750200271606},{"id":"https://openalex.org/keywords/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.4122181832790375},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37289050221443176},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2094985842704773},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.14283645153045654},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11152935028076172},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.07285764813423157},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.056002289056777954}],"concepts":[{"id":"https://openalex.org/C156350748","wikidata":"https://www.wikidata.org/wiki/Q5513324","display_name":"GF(2)","level":3,"score":0.9433468580245972},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.85909503698349},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.6993436813354492},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6169065237045288},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5376433730125427},{"id":"https://openalex.org/C189178079","wikidata":"https://www.wikidata.org/wiki/Q5450398","display_name":"Finite field arithmetic","level":3,"score":0.5263239741325378},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.5201088190078735},{"id":"https://openalex.org/C2778406171","wikidata":"https://www.wikidata.org/wiki/Q6901742","display_name":"Polynomial basis","level":2,"score":0.4750611484050751},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.4712778925895691},{"id":"https://openalex.org/C201290732","wikidata":"https://www.wikidata.org/wiki/Q130762","display_name":"Multiplication algorithm","level":3,"score":0.4426485002040863},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.4401780664920807},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4395488202571869},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.43508750200271606},{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.4122181832790375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37289050221443176},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2094985842704773},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.14283645153045654},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11152935028076172},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.07285764813423157},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.056002289056777954},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-44709-1_18","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-44709-1_18","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-44709-1_18.pdf","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":{"id":"doi:10.1007/3-540-44709-1_18","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-44709-1_18","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-44709-1_18.pdf","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1825396486.pdf","grobid_xml":"https://content.openalex.org/works/W1825396486.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W1490476950","https://openalex.org/W1498685334","https://openalex.org/W1508193711","https://openalex.org/W1519059659","https://openalex.org/W1528464616","https://openalex.org/W1540582803","https://openalex.org/W1569612250","https://openalex.org/W1583750336","https://openalex.org/W1584008964","https://openalex.org/W1588338522","https://openalex.org/W1591099339","https://openalex.org/W1677779030","https://openalex.org/W1754939103","https://openalex.org/W1950989567","https://openalex.org/W2003736153","https://openalex.org/W2004814164","https://openalex.org/W2010065058","https://openalex.org/W2036378739","https://openalex.org/W2063884927","https://openalex.org/W2064759901","https://openalex.org/W2100347417","https://openalex.org/W2103774873","https://openalex.org/W2113287980","https://openalex.org/W2118678344","https://openalex.org/W2126703276","https://openalex.org/W2128718974","https://openalex.org/W2226285591","https://openalex.org/W2475786860","https://openalex.org/W2483831233","https://openalex.org/W2484588551","https://openalex.org/W2484860292","https://openalex.org/W2488547546","https://openalex.org/W2495611469","https://openalex.org/W2498088693","https://openalex.org/W2915470408","https://openalex.org/W2917253820","https://openalex.org/W4210673018","https://openalex.org/W4234345682","https://openalex.org/W6634918175","https://openalex.org/W7028394351"],"related_works":["https://openalex.org/W1576903769","https://openalex.org/W2182826407","https://openalex.org/W2127977400","https://openalex.org/W2207980562","https://openalex.org/W1988682588","https://openalex.org/W3128023985","https://openalex.org/W2785889639","https://openalex.org/W2149204794","https://openalex.org/W2378104619","https://openalex.org/W2995144174"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}