{"id":"https://openalex.org/W2005575073","doi":"https://doi.org/10.1109/iscisc.2014.6994015","title":"High-speed and pipelined finite field bit-parallel multiplier over GF(2<sup>m</sup>) for elliptic curve cryptosystems","display_name":"High-speed and pipelined finite field bit-parallel multiplier over GF(2<sup>m</sup>) for elliptic curve cryptosystems","publication_year":2014,"publication_date":"2014-09-01","ids":{"openalex":"https://openalex.org/W2005575073","doi":"https://doi.org/10.1109/iscisc.2014.6994015","mag":"2005575073"},"language":"en","primary_location":{"id":"doi:10.1109/iscisc.2014.6994015","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscisc.2014.6994015","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 11th International ISC Conference on Information Security and Cryptology","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/A5017337821","display_name":"Bahram Rashidi","orcid":"https://orcid.org/0000-0002-3254-0891"},"institutions":[{"id":"https://openalex.org/I170013655","display_name":"Isfahan University of Technology","ror":"https://ror.org/00af3sa43","country_code":"IR","type":"education","lineage":["https://openalex.org/I170013655"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Bahram Rashidi","raw_affiliation_strings":["Dept. of Mathematics, Isfahan University of Technology, Isfahan, Iran","Dept. of Elec. & Comp. Eng., Isfahan University of Technology, Isfahan 84156-83111, Iran"],"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics, Isfahan University of Technology, Isfahan, Iran","institution_ids":["https://openalex.org/I170013655"]},{"raw_affiliation_string":"Dept. of Elec. & Comp. Eng., Isfahan University of Technology, Isfahan 84156-83111, Iran","institution_ids":["https://openalex.org/I170013655"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034247494","display_name":"Reza Rezaeian Farashahi","orcid":"https://orcid.org/0000-0003-0063-3484"},"institutions":[{"id":"https://openalex.org/I170013655","display_name":"Isfahan University of Technology","ror":"https://ror.org/00af3sa43","country_code":"IR","type":"education","lineage":["https://openalex.org/I170013655"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Reza Rezaeian Farashahi","raw_affiliation_strings":["Dept. of Elec. & Compo Eng., Isfahan, University of Technology, Isfahan, Iran","Dept. of Mathematics, Isfahan University of Technology, Isfahan 84156-83111, Iran"],"affiliations":[{"raw_affiliation_string":"Dept. of Elec. & Compo Eng., Isfahan, University of Technology, Isfahan, Iran","institution_ids":["https://openalex.org/I170013655"]},{"raw_affiliation_string":"Dept. of Mathematics, Isfahan University of Technology, Isfahan 84156-83111, Iran","institution_ids":["https://openalex.org/I170013655"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108122248","display_name":"Sayed Masoud Sayedi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210146419","display_name":"Institute for Research in Fundamental Sciences","ror":"https://ror.org/04xreqs31","country_code":"IR","type":"facility","lineage":["https://openalex.org/I4210146419"]},{"id":"https://openalex.org/I170013655","display_name":"Isfahan University of Technology","ror":"https://ror.org/00af3sa43","country_code":"IR","type":"education","lineage":["https://openalex.org/I170013655"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Sayed Masoud Sayedi","raw_affiliation_strings":["School of Mathematics, Institute for Research in Fundamental Sciences(IPM), Tehran, Iran","Dept. of Elec. & Comp. Eng., Isfahan University of Technology, Isfahan 84156-83111, Iran"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Institute for Research in Fundamental Sciences(IPM), Tehran, Iran","institution_ids":["https://openalex.org/I4210146419"]},{"raw_affiliation_string":"Dept. of Elec. & Comp. Eng., Isfahan University of Technology, Isfahan 84156-83111, Iran","institution_ids":["https://openalex.org/I170013655"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5017337821"],"corresponding_institution_ids":["https://openalex.org/I170013655"],"apc_list":null,"apc_paid":null,"fwci":2.3667,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.90529349,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2","issue":null,"first_page":"15","last_page":"20"},"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":0.9943000078201294,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9793999791145325,"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":0.8856664896011353},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.6993544697761536},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.5889068841934204},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.535118818283081},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.423452228307724},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.41293954849243164},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.40186500549316406},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3693464398384094},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3540307879447937},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2707397937774658},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.06379738450050354}],"concepts":[{"id":"https://openalex.org/C156350748","wikidata":"https://www.wikidata.org/wiki/Q5513324","display_name":"GF(2)","level":3,"score":0.8856664896011353},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6993544697761536},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.5889068841934204},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.535118818283081},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.423452228307724},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.41293954849243164},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.40186500549316406},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3693464398384094},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3540307879447937},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2707397937774658},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.06379738450050354},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscisc.2014.6994015","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscisc.2014.6994015","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 11th International ISC Conference on Information Security and Cryptology","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W151012941","https://openalex.org/W1211536449","https://openalex.org/W1490613968","https://openalex.org/W1511491629","https://openalex.org/W1963863611","https://openalex.org/W2022604436","https://openalex.org/W2034170947","https://openalex.org/W2052621483","https://openalex.org/W2062784208","https://openalex.org/W2065112768","https://openalex.org/W2092349143","https://openalex.org/W2097601417","https://openalex.org/W2105736066","https://openalex.org/W2105832889","https://openalex.org/W2106641903","https://openalex.org/W2132302629","https://openalex.org/W2136484227","https://openalex.org/W2146943881","https://openalex.org/W2158982101","https://openalex.org/W2168597767","https://openalex.org/W2780394256","https://openalex.org/W6606249822","https://openalex.org/W6627954660","https://openalex.org/W6659233155","https://openalex.org/W6679766943"],"related_works":["https://openalex.org/W2110474813","https://openalex.org/W2102279847","https://openalex.org/W2094734953","https://openalex.org/W2207980562","https://openalex.org/W1597042117","https://openalex.org/W1825396486","https://openalex.org/W2060189445","https://openalex.org/W1992473518","https://openalex.org/W2182369583","https://openalex.org/W2162573747"],"abstract_inverted_index":{"This":[0,110],"paper":[1],"presents":[2],"a":[3,25],"high-speed":[4,70],"and":[5,28,42,71,91,107,116],"pipelined":[6],"bit-parallel":[7],"multiplier":[8,21],"over":[9],"binary":[10],"finite":[11],"fields":[12],"for":[13,105],"elliptic":[14],"curve":[15],"cryptosystems.":[16],"The":[17,76,100],"architecture":[18,84,102],"of":[19,49,58],"this":[20],"is":[22,53,64,79,103],"based":[23],"on":[24],"parallel":[26,44],"structure":[27,48],"multiplication":[29],"by":[30,69,122],"2,":[31],"so":[32],"that":[33],"the":[34,39,47,50,56,59,66,82,87,94],"two":[35],"inputs":[36],"apply":[37],"to":[38,55,81,85,92],"circuit":[40,52],"simultaneously":[41],"in":[43,65,96],"form.":[45],"Furthermore,":[46],"proposed":[51,83,101],"reconfigurable":[54],"change":[57],"field":[60],"size.":[61],"Our":[62],"implementation":[63],"gate":[67],"level":[68],"low-cost":[72],"combinational":[73],"logic":[74],"circuits.":[75],"pipelining":[77],"technique":[78],"applied":[80],"shorten":[86],"critical":[88],"path":[89],"delay":[90],"conclude":[93],"computations":[95],"one":[97],"clock":[98],"cycle.":[99],"efficient":[104],"FPGA":[106],"VLSI":[108],"implementation.":[109],"work":[111],"has":[112],"been":[113],"successfully":[114],"verified":[115],"synthesized":[117],"using":[118],"Xilinx":[119],"ISE":[120],"11":[121],"Virtex-4,":[123],"XC4VLX200":[124],"FPGA.":[125]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}