{"id":"https://openalex.org/W1928474026","doi":"https://doi.org/10.1007/3-540-36400-5_38","title":"Hardware Implementation of Finite Fields of Characteristic Three","display_name":"Hardware Implementation of Finite Fields of Characteristic Three","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1928474026","doi":"https://doi.org/10.1007/3-540-36400-5_38","mag":"1928474026"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-36400-5_38","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-36400-5_38","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-36400-5_38.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":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-36400-5_38.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068251706","display_name":"David Page","orcid":"https://orcid.org/0000-0003-0576-2912"},"institutions":[{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"D. Page","raw_affiliation_strings":["Dept. Computer Science, University of Bristol, Merchant Venturers Building,Woodland Road, BS8 1UB, Bristol, UK"],"affiliations":[{"raw_affiliation_string":"Dept. Computer Science, University of Bristol, Merchant Venturers Building,Woodland Road, BS8 1UB, Bristol, UK","institution_ids":["https://openalex.org/I36234482"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013420832","display_name":"Nigel P. Smart","orcid":"https://orcid.org/0000-0003-3567-3304"},"institutions":[{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"N.P. Smart","raw_affiliation_strings":["Dept. Computer Science, University of Bristol, Merchant Venturers Building,Woodland Road, BS8 1UB, Bristol, UK"],"affiliations":[{"raw_affiliation_string":"Dept. Computer Science, University of Bristol, Merchant Venturers Building,Woodland Road, BS8 1UB, Bristol, UK","institution_ids":["https://openalex.org/I36234482"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5068251706"],"corresponding_institution_ids":["https://openalex.org/I36234482"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":10.3294,"has_fulltext":true,"cited_by_count":70,"citation_normalized_percentile":{"value":0.98568099,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"529","last_page":"539"},"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/T10237","display_name":"Cryptography and Data Security","score":0.9994999766349792,"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/T11130","display_name":"Coding theory and cryptography","score":0.9994999766349792,"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/computer-science","display_name":"Computer science","score":0.8064793348312378},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.763098955154419},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.7305360436439514},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.7244263291358948},{"id":"https://openalex.org/keywords/finite-field-arithmetic","display_name":"Finite field arithmetic","score":0.6730026006698608},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.633212685585022},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5811877250671387},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5778720378875732},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5045207738876343},{"id":"https://openalex.org/keywords/pairing","display_name":"Pairing","score":0.4923206567764282},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4388711452484131},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4129711985588074},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.3611975312232971},{"id":"https://openalex.org/keywords/computer-engineering","display_name":"Computer engineering","score":0.3379397392272949},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28669166564941406},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.15205118060112},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.14156383275985718}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8064793348312378},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.763098955154419},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.7305360436439514},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.7244263291358948},{"id":"https://openalex.org/C189178079","wikidata":"https://www.wikidata.org/wiki/Q5450398","display_name":"Finite field arithmetic","level":3,"score":0.6730026006698608},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.633212685585022},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5811877250671387},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5778720378875732},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5045207738876343},{"id":"https://openalex.org/C14103023","wikidata":"https://www.wikidata.org/wiki/Q11681459","display_name":"Pairing","level":3,"score":0.4923206567764282},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4388711452484131},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4129711985588074},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.3611975312232971},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.3379397392272949},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28669166564941406},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.15205118060112},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.14156383275985718},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/3-540-36400-5_38","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-36400-5_38","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-36400-5_38.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"},{"id":"pmh:oai:research-information.bris.ac.uk:openaire_cris_publications/734a41ea-c563-4e49-9f7b-1f087238f0f2","is_oa":false,"landing_page_url":"https://research-information.bris.ac.uk/en/publications/734a41ea-c563-4e49-9f7b-1f087238f0f2","pdf_url":null,"source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Page, D & Smart, N P 2002, Hardware implementation of finite fields of characteristic three. in Cryptographic Hardware and Embedded Systems - CHES 2002. vol. 2523, Springer Berlin Heidelberg, pp. 529-539.","raw_type":"contributionToPeriodical"},{"id":"pmh:oai:research-information.bris.ac.uk:publications/734a41ea-c563-4e49-9f7b-1f087238f0f2","is_oa":false,"landing_page_url":"https://hdl.handle.net/1983/734a41ea-c563-4e49-9f7b-1f087238f0f2","pdf_url":null,"source":{"id":"https://openalex.org/S7407055359","display_name":"Explore Bristol Research","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":"Page, D & Smart, N P 2002, Hardware implementation of finite fields of characteristic three. in Cryptographic Hardware and Embedded Systems - CHES 2002. vol. 2523, Springer Berlin Heidelberg, pp. 529-539.","raw_type":"contributionToPeriodical"}],"best_oa_location":{"id":"doi:10.1007/3-540-36400-5_38","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-36400-5_38","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-36400-5_38.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/W1928474026.pdf","grobid_xml":"https://content.openalex.org/works/W1928474026.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W337000918","https://openalex.org/W1491262044","https://openalex.org/W1495266644","https://openalex.org/W1518871948","https://openalex.org/W1532836984","https://openalex.org/W1586812950","https://openalex.org/W1610688607","https://openalex.org/W1637905077","https://openalex.org/W1643928249","https://openalex.org/W2004814164","https://openalex.org/W2015453719","https://openalex.org/W2086042811","https://openalex.org/W2111310412","https://openalex.org/W2151737020","https://openalex.org/W2152924492","https://openalex.org/W2497843319","https://openalex.org/W2624923838","https://openalex.org/W3154896280","https://openalex.org/W4237773356"],"related_works":["https://openalex.org/W11189027","https://openalex.org/W1610354793","https://openalex.org/W2130713829","https://openalex.org/W2186975062","https://openalex.org/W2161664453","https://openalex.org/W2078863749","https://openalex.org/W2164028132","https://openalex.org/W1574908871","https://openalex.org/W3171193608","https://openalex.org/W1999931468"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
