{"id":"https://openalex.org/W2102279847","doi":"https://doi.org/10.1109/apccas.2010.5774883","title":"High-speed and low power unified dual-field multiplier in GF (P) and GF (2&lt;sup&gt;m&lt;/sup&gt;)","display_name":"High-speed and low power unified dual-field multiplier in GF (P) and GF (2&lt;sup&gt;m&lt;/sup&gt;)","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2102279847","doi":"https://doi.org/10.1109/apccas.2010.5774883","mag":"2102279847"},"language":"en","primary_location":{"id":"doi:10.1109/apccas.2010.5774883","is_oa":false,"landing_page_url":"https://doi.org/10.1109/apccas.2010.5774883","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Asia Pacific Conference on Circuits and Systems","raw_type":"proceedings-article"},"type":"conference-paper","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/A5072069135","display_name":"Prabhat Chandra Shrivastava","orcid":"https://orcid.org/0000-0003-0766-6422"},"institutions":[{"id":"https://openalex.org/I152869788","display_name":"Motilal Nehru National Institute of Technology","ror":"https://ror.org/04dp7tp96","country_code":"IN","type":"education","lineage":["https://openalex.org/I152869788"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Prabhat Chandra Shrivastava","raw_affiliation_strings":["Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India","Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India","institution_ids":["https://openalex.org/I152869788"]},{"raw_affiliation_string":"Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India#TAB#","institution_ids":["https://openalex.org/I152869788"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026641646","display_name":"Rupesh Kumar","orcid":"https://orcid.org/0000-0002-1336-479X"},"institutions":[{"id":"https://openalex.org/I152869788","display_name":"Motilal Nehru National Institute of Technology","ror":"https://ror.org/04dp7tp96","country_code":"IN","type":"education","lineage":["https://openalex.org/I152869788"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rupesh Kumar","raw_affiliation_strings":["Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India","Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India","institution_ids":["https://openalex.org/I152869788"]},{"raw_affiliation_string":"Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India#TAB#","institution_ids":["https://openalex.org/I152869788"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084907935","display_name":"Arvind Kumar","orcid":"https://orcid.org/0000-0003-3283-5849"},"institutions":[{"id":"https://openalex.org/I152869788","display_name":"Motilal Nehru National Institute of Technology","ror":"https://ror.org/04dp7tp96","country_code":"IN","type":"education","lineage":["https://openalex.org/I152869788"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Arvind Kumar","raw_affiliation_strings":["Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India","Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India","institution_ids":["https://openalex.org/I152869788"]},{"raw_affiliation_string":"Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India#TAB#","institution_ids":["https://openalex.org/I152869788"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108126984","display_name":"Sanjeev Rai","orcid":"https://orcid.org/0000-0002-4107-7659"},"institutions":[{"id":"https://openalex.org/I152869788","display_name":"Motilal Nehru National Institute of Technology","ror":"https://ror.org/04dp7tp96","country_code":"IN","type":"education","lineage":["https://openalex.org/I152869788"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sanjeev Rai","raw_affiliation_strings":["Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India","Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India","institution_ids":["https://openalex.org/I152869788"]},{"raw_affiliation_string":"Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India#TAB#","institution_ids":["https://openalex.org/I152869788"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I152869788"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":null,"first_page":"847","last_page":"850"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9991999864578247,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9991999864578247,"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9761999845504761,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/multiplier","display_name":"Multiplier (economics)","score":0.7277616262435913},{"id":"https://openalex.org/keywords/gf","display_name":"GF(2)","score":0.7193495631217957},{"id":"https://openalex.org/keywords/operand","display_name":"Operand","score":0.6992149353027344},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5956450700759888},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5029551386833191},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4897449016571045},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4065333902835846},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3443698287010193},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33964109420776367},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3275456428527832}],"concepts":[{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.7277616262435913},{"id":"https://openalex.org/C156350748","wikidata":"https://www.wikidata.org/wiki/Q5513324","display_name":"GF(2)","level":3,"score":0.7193495631217957},{"id":"https://openalex.org/C55526617","wikidata":"https://www.wikidata.org/wiki/Q719375","display_name":"Operand","level":2,"score":0.6992149353027344},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5956450700759888},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5029551386833191},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4897449016571045},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4065333902835846},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3443698287010193},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33964109420776367},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3275456428527832},{"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/apccas.2010.5774883","is_oa":false,"landing_page_url":"https://doi.org/10.1109/apccas.2010.5774883","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Asia Pacific Conference on Circuits and Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.7300000190734863}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1499231268","https://openalex.org/W1825396486","https://openalex.org/W1964845253","https://openalex.org/W2021119829","https://openalex.org/W2053464283","https://openalex.org/W2076775530","https://openalex.org/W2103774873","https://openalex.org/W2113287980","https://openalex.org/W2134248015","https://openalex.org/W2144669042","https://openalex.org/W2149910591","https://openalex.org/W6679750224","https://openalex.org/W6682366982"],"related_works":["https://openalex.org/W2081051399","https://openalex.org/W1825396486","https://openalex.org/W2090865818","https://openalex.org/W2204275588","https://openalex.org/W843373033","https://openalex.org/W2047405250","https://openalex.org/W4240897725","https://openalex.org/W2395601077","https://openalex.org/W2361826146","https://openalex.org/W2082919005"],"abstract_inverted_index":{"This":[0,56],"paper":[1],"presents":[2],"a":[3,8,30,76],"new":[4,57],"hardware":[5,39],"architecture":[6,157],"for":[7,79,100,136,145,158],"unified":[9,119],"multiplier,":[10],"which":[11,175],"operates":[12],"in":[13,43,70,86,98,115,128,132,160],"two":[14],"types":[15],"of":[16,36,41,147],"finite":[17,44],"field:":[18],"GF":[19,22,47,50,71,87,161,164],"(P)":[20,48,72,162],"and":[21,49,73,95,104,110,125,130,163],"(2":[23,51,88,165],"<sup":[24,52,89,166],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[25,53,90,167],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">m</sup>":[26,54,91,168],").":[27,55],"We":[28],"present":[29],"simple":[31],"but":[32],"highly":[33],"useful":[34],"modification":[35],"the":[37,65,153],"conventional":[38],"implementation":[40],"accumulation":[42],"field":[45,121,180],"over":[46],"design":[58],"uses":[59,75,152],"parallel":[60],"one's":[61],"counters":[62],"to":[63],"accumulate":[64],"binary":[66,80],"partial":[67],"product":[68],"bit":[69,107,155],"further":[74],"T":[77],"flip-flop":[78],"extension":[81],"field.":[82],"The":[83,118,140,150],"proposed":[84,141],"multiplier":[85,122,142,151],")":[92],"achieves":[93,123],"11.76%":[94],"30.23%":[96],"gain":[97,127],"speed":[99,129],"(8,":[101],"16,":[102],"32)":[103],"(64,":[105],"128)":[106],"operands":[108,146],"respectively":[109,135],"an":[111],"average":[112],"3.92%":[113],"reduction":[114,131],"power":[116,133],"consumption.":[117],"dual":[120,179],"19.3%":[124],"14.3%":[126],"consumption":[134],"8":[137],"bits":[138],"operand.":[139],"is":[143],"scalable":[144],"any":[148],"size.":[149],"LSB-first":[154],"serial":[156],"multiplication":[159,173],"),":[169],"other":[170],"than":[171],"Montgomery":[172],"algorithm,":[174],"mostly":[176],"employs":[177],"existing":[178],"multipliers.":[181]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2016-06-24T00:00:00"}
