{"id":"https://openalex.org/W2159340382","doi":"https://doi.org/10.1109/iscas.2008.4541760","title":"Fault tolerant bit parallel finite field multipliers using LDPC codes","display_name":"Fault tolerant bit parallel finite field multipliers using LDPC codes","publication_year":2008,"publication_date":"2008-05-01","ids":{"openalex":"https://openalex.org/W2159340382","doi":"https://doi.org/10.1109/iscas.2008.4541760","mag":"2159340382"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2008.4541760","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2008.4541760","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Symposium on Circuits and Systems (ISCAS)","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/A5081683515","display_name":"Jimson Mathew","orcid":"https://orcid.org/0000-0001-8247-9040"},"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":"J. Mathew","raw_affiliation_strings":["Department of Computer Science, University of Bristol, BS8 1UB, UK","Department of Computer Science, University of Bristol, Bristol, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Bristol, BS8 1UB, UK","institution_ids":["https://openalex.org/I36234482"]},{"raw_affiliation_string":"Department of Computer Science, University of Bristol, Bristol, UK","institution_ids":["https://openalex.org/I36234482"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043774561","display_name":"Jawar Singh","orcid":"https://orcid.org/0000-0002-6351-9884"},"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":"J. Singh","raw_affiliation_strings":["Department of Computer Science, University of Bristol, BS8 1UB, UK","Department of Computer Science, University of Bristol, Bristol, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Bristol, BS8 1UB, UK","institution_ids":["https://openalex.org/I36234482"]},{"raw_affiliation_string":"Department of Computer Science, University of Bristol, Bristol, UK","institution_ids":["https://openalex.org/I36234482"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076588539","display_name":"Abusaleh Jabir","orcid":null},"institutions":[{"id":"https://openalex.org/I124261462","display_name":"Oxford Brookes University","ror":"https://ror.org/04v2twj65","country_code":"GB","type":"education","lineage":["https://openalex.org/I124261462"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"A. M. Jabir","raw_affiliation_strings":["Oxford Brookes University, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Oxford Brookes University, UK","institution_ids":["https://openalex.org/I124261462"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000075032","display_name":"Mohammad Hosseinabady","orcid":"https://orcid.org/0000-0003-3989-4999"},"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":"M. Hosseinabady","raw_affiliation_strings":["Department of Computer Science, University of Bristol, BS8 1UB, UK","Department of Computer Science, University of Bristol, Bristol, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Bristol, BS8 1UB, UK","institution_ids":["https://openalex.org/I36234482"]},{"raw_affiliation_string":"Department of Computer Science, University of Bristol, Bristol, UK","institution_ids":["https://openalex.org/I36234482"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113458314","display_name":"Dhiraj K. Pradhan","orcid":null},"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":"D. K. Pradhan","raw_affiliation_strings":["Department of Computer Science, University of Bristol, BS8 1UB, UK","Department of Computer Science, University of Bristol, Bristol, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Bristol, BS8 1UB, UK","institution_ids":["https://openalex.org/I36234482"]},{"raw_affiliation_string":"Department of Computer Science, University of Bristol, Bristol, UK","institution_ids":["https://openalex.org/I36234482"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4744,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.62652628,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1684","last_page":"1687"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11005","display_name":"Radiation Effects in Electronics","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11005","display_name":"Radiation Effects in Electronics","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":0.9977999925613403,"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":0.9970999956130981,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.785159707069397},{"id":"https://openalex.org/keywords/error-detection-and-correction","display_name":"Error detection and correction","score":0.6831947565078735},{"id":"https://openalex.org/keywords/galois-theory","display_name":"Galois theory","score":0.6190208792686462},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.6065853834152222},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5725906491279602},{"id":"https://openalex.org/keywords/parity-bit","display_name":"Parity bit","score":0.5595290660858154},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.5511257648468018},{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.5427402257919312},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48166120052337646},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.46713021397590637},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4620930552482605},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.4608340859413147},{"id":"https://openalex.org/keywords/fault-tolerance","display_name":"Fault tolerance","score":0.43120360374450684},{"id":"https://openalex.org/keywords/operand","display_name":"Operand","score":0.4166007936000824},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.31879886984825134},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30730685591697693},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.2475731074810028},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.19878754019737244}],"concepts":[{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.785159707069397},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.6831947565078735},{"id":"https://openalex.org/C94398972","wikidata":"https://www.wikidata.org/wiki/Q92552","display_name":"Galois theory","level":2,"score":0.6190208792686462},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.6065853834152222},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5725906491279602},{"id":"https://openalex.org/C131521367","wikidata":"https://www.wikidata.org/wiki/Q625502","display_name":"Parity bit","level":2,"score":0.5595290660858154},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.5511257648468018},{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.5427402257919312},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48166120052337646},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.46713021397590637},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4620930552482605},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.4608340859413147},{"id":"https://openalex.org/C63540848","wikidata":"https://www.wikidata.org/wiki/Q3140932","display_name":"Fault tolerance","level":2,"score":0.43120360374450684},{"id":"https://openalex.org/C55526617","wikidata":"https://www.wikidata.org/wiki/Q719375","display_name":"Operand","level":2,"score":0.4166007936000824},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.31879886984825134},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30730685591697693},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.2475731074810028},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.19878754019737244},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas.2008.4541760","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2008.4541760","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Symposium on Circuits and Systems (ISCAS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W87321833","https://openalex.org/W1481330728","https://openalex.org/W1906369229","https://openalex.org/W1980073965","https://openalex.org/W2018972938","https://openalex.org/W2038884834","https://openalex.org/W2057209427","https://openalex.org/W2066425771","https://openalex.org/W2088290614","https://openalex.org/W2101297730","https://openalex.org/W2104183585","https://openalex.org/W2128765501","https://openalex.org/W2138169871","https://openalex.org/W2149204794","https://openalex.org/W2153973094","https://openalex.org/W2162465831","https://openalex.org/W2342204193","https://openalex.org/W4300188436"],"related_works":["https://openalex.org/W2943247777","https://openalex.org/W4294206196","https://openalex.org/W2740543340","https://openalex.org/W2371167013","https://openalex.org/W3005569412","https://openalex.org/W1493958394","https://openalex.org/W1582340598","https://openalex.org/W2794545997","https://openalex.org/W2584980534","https://openalex.org/W2182731056"],"abstract_inverted_index":{"Motivated":[0],"by":[1],"the":[2,51,62,67,88,94,101,105,137],"problems":[3],"associated":[4],"with":[5,56,111,136],"soft":[6],"errors":[7,48],"in":[8,15,38,70],"digital":[9],"circuits":[10,29],"and":[11,97],"fault":[12],"related":[13],"attacks":[14],"cryptographic":[16],"hardware,":[17,134],"we":[18,73],"presented":[19],"a":[20],"systematic":[21],"method":[22],"for":[23,30,87],"designing":[24],"single":[25,47,75],"error":[26,59,76],"correcting":[27],"multiplier":[28],"finite":[31],"fields":[32,35],"or":[33],"Galois":[34],"over":[36,126,130],"GF(2m)":[37,127],"[7].":[39],"We":[40,117],"used":[41],"multiple":[42],"parity":[43,89],"predictions":[44],"to":[45],"correct":[46],"based":[49,58,99],"on":[50,100],"Hamming":[52,57],"principles.":[53],"The":[54,85],"problem":[55],"correction":[60,77],"is":[61,143],"delay":[63,68],"overhead.":[64],"To":[65],"mitigate":[66],"overhead,":[69],"this":[71,141],"paper":[72],"present":[74],"using":[78],"Low":[79],"Density":[80],"Parity":[81],"Check":[82],"Codes":[83],"(LDPC).":[84],"expressions":[86],"prediction":[90],"are":[91,98],"derived":[92],"from":[93],"input":[95],"operands,":[96],"primitive":[102],"polynomials":[103],"of":[104],"fields.":[106],"Our":[107],"technique,":[108],"when":[109],"compared":[110],"existing":[112],"techniques,":[113],"gives":[114],"better":[115],"performance.":[116],"show":[118],"that":[119],"our":[120],"Single":[121],"Error":[122],"Correction":[123],"(SEC)":[124],"multipliers":[125],"require":[128],"slightly":[129],"100":[131],"percent":[132],"extra":[133],"whereas":[135],"traditional":[138],"SEC":[139],"techniques":[140],"figure":[142],"more":[144],"than":[145],"200":[146],"percent.":[147]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
