{"id":"https://openalex.org/W2137714854","doi":"https://doi.org/10.1109/icecs.2008.4674785","title":"A modified architecture for Optimal Normal Basis multiplication based on pre-computation","display_name":"A modified architecture for Optimal Normal Basis multiplication based on pre-computation","publication_year":2008,"publication_date":"2008-08-01","ids":{"openalex":"https://openalex.org/W2137714854","doi":"https://doi.org/10.1109/icecs.2008.4674785","mag":"2137714854"},"language":"en","primary_location":{"id":"doi:10.1109/icecs.2008.4674785","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icecs.2008.4674785","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 15th IEEE International Conference on Electronics, Circuits and Systems","raw_type":"proceedings-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/A5098043533","display_name":"Richard Cupples","orcid":null},"institutions":[{"id":"https://openalex.org/I126231945","display_name":"Queen's University Belfast","ror":"https://ror.org/00hswnk62","country_code":"GB","type":"education","lineage":["https://openalex.org/I126231945"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Richard Cupples","raw_affiliation_strings":["The Institute of Electronics, Communications and Information Technology (ECIT, Queen's University Belfast, Northern Ireland","Inst. of Electron., Commun. & Inf. Technol. (ECIT), Queen's Univ. Belfast, Belfast"],"affiliations":[{"raw_affiliation_string":"The Institute of Electronics, Communications and Information Technology (ECIT, Queen's University Belfast, Northern Ireland","institution_ids":[]},{"raw_affiliation_string":"Inst. of Electron., Commun. & Inf. Technol. (ECIT), Queen's Univ. Belfast, Belfast","institution_ids":["https://openalex.org/I126231945"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030458751","display_name":"Omar Nibouche","orcid":"https://orcid.org/0000-0003-2149-2975"},"institutions":[{"id":"https://openalex.org/I126231945","display_name":"Queen's University Belfast","ror":"https://ror.org/00hswnk62","country_code":"GB","type":"education","lineage":["https://openalex.org/I126231945"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Omar Nibouche","raw_affiliation_strings":["The Institute of Electronics, Communications and Information Technology (ECIT), Queen's University Belfast, Northern Ireland","Inst. of Electron., Commun. & Inf. Technol. (ECIT), Queen's Univ. Belfast, Belfast"],"affiliations":[{"raw_affiliation_string":"The Institute of Electronics, Communications and Information Technology (ECIT), Queen's University Belfast, Northern Ireland","institution_ids":[]},{"raw_affiliation_string":"Inst. of Electron., Commun. & Inf. Technol. (ECIT), Queen's Univ. Belfast, Belfast","institution_ids":["https://openalex.org/I126231945"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033623398","display_name":"Ahmed Bouridane","orcid":"https://orcid.org/0000-0002-1474-2772"},"institutions":[{"id":"https://openalex.org/I126231945","display_name":"Queen's University Belfast","ror":"https://ror.org/00hswnk62","country_code":"GB","type":"education","lineage":["https://openalex.org/I126231945"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ahmed Bouridane","raw_affiliation_strings":["The Institute of Electronics, Communications and Information Technology (ECIT), Queen's University Belfast, Northern Ireland","Inst. of Electron., Commun. & Inf. Technol. (ECIT), Queen's Univ. Belfast, Belfast"],"affiliations":[{"raw_affiliation_string":"The Institute of Electronics, Communications and Information Technology (ECIT), Queen's University Belfast, Northern Ireland","institution_ids":[]},{"raw_affiliation_string":"Inst. of Electron., Commun. & Inf. Technol. (ECIT), Queen's Univ. Belfast, Belfast","institution_ids":["https://openalex.org/I126231945"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5098043533"],"corresponding_institution_ids":["https://openalex.org/I126231945"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13771983,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"37","last_page":"40"},"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":0.9970999956130981,"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":0.9940999746322632,"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/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.7183084487915039},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.715340256690979},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6752601861953735},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.6247153282165527},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5696494579315186},{"id":"https://openalex.org/keywords/critical-path-method","display_name":"Critical path method","score":0.5577354431152344},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.5563986301422119},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5420575737953186},{"id":"https://openalex.org/keywords/architecture","display_name":"Architecture","score":0.4732131361961365},{"id":"https://openalex.org/keywords/normal-basis","display_name":"Normal basis","score":0.43109482526779175},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.38553258776664734},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.34295761585235596},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31955486536026},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26170629262924194},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.13705408573150635},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.09876254200935364},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.07879796624183655},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07792332768440247}],"concepts":[{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.7183084487915039},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.715340256690979},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6752601861953735},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.6247153282165527},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5696494579315186},{"id":"https://openalex.org/C115874739","wikidata":"https://www.wikidata.org/wiki/Q825377","display_name":"Critical path method","level":2,"score":0.5577354431152344},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.5563986301422119},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5420575737953186},{"id":"https://openalex.org/C123657996","wikidata":"https://www.wikidata.org/wiki/Q12271","display_name":"Architecture","level":2,"score":0.4732131361961365},{"id":"https://openalex.org/C205567592","wikidata":"https://www.wikidata.org/wiki/Q3527199","display_name":"Normal basis","level":3,"score":0.43109482526779175},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.38553258776664734},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.34295761585235596},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31955486536026},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26170629262924194},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.13705408573150635},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.09876254200935364},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.07879796624183655},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07792332768440247},{"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/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"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/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C94398972","wikidata":"https://www.wikidata.org/wiki/Q92552","display_name":"Galois theory","level":2,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icecs.2008.4674785","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icecs.2008.4674785","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 15th IEEE International Conference on Electronics, Circuits and Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1508193711","https://openalex.org/W1569612250","https://openalex.org/W1894395730","https://openalex.org/W1996360405","https://openalex.org/W2003736153","https://openalex.org/W2036378739","https://openalex.org/W2049990610","https://openalex.org/W2050685430","https://openalex.org/W2054020579","https://openalex.org/W2108834246","https://openalex.org/W2113861229","https://openalex.org/W2114353618","https://openalex.org/W2118738916","https://openalex.org/W2149916978","https://openalex.org/W2152025668","https://openalex.org/W2162915244","https://openalex.org/W2164336166"],"related_works":["https://openalex.org/W2225983048","https://openalex.org/W2078863749","https://openalex.org/W2394069657","https://openalex.org/W4393353016","https://openalex.org/W1549861330","https://openalex.org/W2350154067","https://openalex.org/W2039650739","https://openalex.org/W1576903769","https://openalex.org/W2785889639","https://openalex.org/W2164336166"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3],"newly":[4],"modified":[5],"optimal":[6],"normal":[7],"basis":[8],"multiplier":[9],"based":[10],"on":[11],"the":[12,29,34,37,45,52],"Massey-Omura":[13],"method":[14],"is":[15],"proposed.":[16],"Improvements":[17],"in":[18,33],"both":[19],"area":[20],"and":[21],"critical":[22],"path":[23],"delay":[24],"have":[25],"been":[26],"achieved":[27],"over":[28],"next":[30],"best":[31],"architecture":[32],"literature,":[35],"through":[36],"use":[38],"of":[39,47,54],"pre-computation.":[40],"These":[41],"improvements":[42],"allow":[43],"for":[44,51],"design":[46],"small,":[48],"fast":[49],"multipliers":[50],"implementation":[53],"Elliptic":[55],"Curve":[56],"Cryptography.":[57]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
