{"id":"https://openalex.org/W2000879126","doi":"https://doi.org/10.1587/elex.10.20130612","title":"An improved quad Itoh-Tsujii algorithm for FPGAs","display_name":"An improved quad Itoh-Tsujii algorithm for FPGAs","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2000879126","doi":"https://doi.org/10.1587/elex.10.20130612","mag":"2000879126"},"language":"en","primary_location":{"id":"doi:10.1587/elex.10.20130612","is_oa":true,"landing_page_url":"https://doi.org/10.1587/elex.10.20130612","pdf_url":"https://www.jstage.jst.go.jp/article/elex/10/18/10_10.20130612/_pdf","source":{"id":"https://openalex.org/S207433681","display_name":"IEICE Electronics Express","issn_l":"1349-2543","issn":["1349-2543","1349-9467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Electronics Express","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.jstage.jst.go.jp/article/elex/10/18/10_10.20130612/_pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043404523","display_name":"V. R. Venkatasubramani","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"V. R. Venkatasubramani","raw_affiliation_strings":["Department of ECE, Thiagarajar college of Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of ECE, Thiagarajar college of Engineering","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112437198","display_name":"N. Murali","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"N. Murali","raw_affiliation_strings":["Department of ECE, Thiagarajar college of Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of ECE, Thiagarajar college of Engineering","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108642311","display_name":"S. Rajaram","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. Rajaram","raw_affiliation_strings":["Department of ECE, Thiagarajar college of Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of ECE, Thiagarajar college of Engineering","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5086,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.91055855,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"10","issue":"18","first_page":"20130612","last_page":"20130612"},"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":0.9994000196456909,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/precomputation","display_name":"Precomputation","score":0.9192074537277222},{"id":"https://openalex.org/keywords/field-programmable-gate-array","display_name":"Field-programmable gate array","score":0.8186174631118774},{"id":"https://openalex.org/keywords/trinomial","display_name":"Trinomial","score":0.7282227873802185},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6655640602111816},{"id":"https://openalex.org/keywords/multiplicative-inverse","display_name":"Multiplicative inverse","score":0.6420930624008179},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5438502430915833},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5086796879768372},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5039171576499939},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4326319098472595},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.42045366764068604},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4170931875705719},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24872341752052307},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.23730483651161194},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.14868706464767456},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.14809703826904297},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.08214396238327026}],"concepts":[{"id":"https://openalex.org/C159379195","wikidata":"https://www.wikidata.org/wiki/Q7239568","display_name":"Precomputation","level":3,"score":0.9192074537277222},{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.8186174631118774},{"id":"https://openalex.org/C6791720","wikidata":"https://www.wikidata.org/wiki/Q1670509","display_name":"Trinomial","level":2,"score":0.7282227873802185},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6655640602111816},{"id":"https://openalex.org/C157351203","wikidata":"https://www.wikidata.org/wiki/Q216906","display_name":"Multiplicative inverse","level":3,"score":0.6420930624008179},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5438502430915833},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5086796879768372},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5039171576499939},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4326319098472595},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.42045366764068604},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4170931875705719},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24872341752052307},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.23730483651161194},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.14868706464767456},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.14809703826904297},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.08214396238327026},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1587/elex.10.20130612","is_oa":true,"landing_page_url":"https://doi.org/10.1587/elex.10.20130612","pdf_url":"https://www.jstage.jst.go.jp/article/elex/10/18/10_10.20130612/_pdf","source":{"id":"https://openalex.org/S207433681","display_name":"IEICE Electronics Express","issn_l":"1349-2543","issn":["1349-2543","1349-9467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Electronics Express","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1587/elex.10.20130612","is_oa":true,"landing_page_url":"https://doi.org/10.1587/elex.10.20130612","pdf_url":"https://www.jstage.jst.go.jp/article/elex/10/18/10_10.20130612/_pdf","source":{"id":"https://openalex.org/S207433681","display_name":"IEICE Electronics Express","issn_l":"1349-2543","issn":["1349-2543","1349-9467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Electronics Express","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.5400000214576721,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2000879126.pdf","grobid_xml":"https://content.openalex.org/works/W2000879126.grobid-xml"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W1589682573","https://openalex.org/W2007751412","https://openalex.org/W2031132945","https://openalex.org/W2032492064","https://openalex.org/W2418697358"],"related_works":["https://openalex.org/W4312742439","https://openalex.org/W4313513739","https://openalex.org/W4233505935","https://openalex.org/W4313642433","https://openalex.org/W4313513695","https://openalex.org/W3175552624","https://openalex.org/W4313466780","https://openalex.org/W4295815789","https://openalex.org/W3104006239","https://openalex.org/W2975999359"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"an":[5],"improved":[6],"quad":[7],"Itoh-Tsujii":[8],"algorithm":[9],"to":[10,54],"compute":[11],"multiplicative":[12],"inverse":[13],"efficiently":[14],"on":[15,51],"Field-programmable":[16],"gate-arrays":[17],"(FPGA)":[18],"platforms":[19],"for":[20],"binary":[21],"fields":[22],"generated":[23],"by":[24,30],"irreducible":[25],"trinomials.":[26],"Efficiency":[27],"is":[28],"obtained":[29],"eliminating":[31],"the":[32,45,49],"precomputation":[33],"steps":[34],"required":[35],"in":[36],"conventional":[37],"quad-ITA":[38],"(QITA)":[39],"scheme.":[40],"Experimental":[41],"results":[42],"show":[43],"that":[44],"proposed":[46],"architecture":[47],"improves":[48],"performance":[50],"FPGAs":[52],"compared":[53],"existing":[55],"techniques.":[56]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
