{"id":"https://openalex.org/W3155688283","doi":"https://doi.org/10.1587/elex.18.20210108","title":"A Hex Itoh-Tsujii inversion algorithm for FPGA platforms","display_name":"A Hex Itoh-Tsujii inversion algorithm for FPGA platforms","publication_year":2021,"publication_date":"2021-04-08","ids":{"openalex":"https://openalex.org/W3155688283","doi":"https://doi.org/10.1587/elex.18.20210108","mag":"3155688283"},"language":"en","primary_location":{"id":"doi:10.1587/elex.18.20210108","is_oa":true,"landing_page_url":"https://doi.org/10.1587/elex.18.20210108","pdf_url":"https://www.jstage.jst.go.jp/article/elex/18/9/18_18.20210108/_pdf","source":{"id":"https://openalex.org/S207433681","display_name":"IEICE Electronics Express","issn_l":"1349-2543","issn":["1349-2543","1349-9467"],"is_oa":true,"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":"diamond","oa_url":"https://www.jstage.jst.go.jp/article/elex/18/9/18_18.20210108/_pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010204379","display_name":"M. Kalaiarasi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Murugesan Kalaiarasi","raw_affiliation_strings":["Dept. of Electronics and Communication Engineering, Thiagarajar College of Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electronics and Communication Engineering, Thiagarajar College of Engineering","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043404523","display_name":"V. R. Venkatasubramani","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vepadappu Raman Venkatasubramani","raw_affiliation_strings":["Dept. of Electronics and Communication Engineering, Thiagarajar College of Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electronics and Communication Engineering, Thiagarajar College of Engineering","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5104033574","display_name":"Sivasubramanian Rajaram","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sivasubramanian Rajaram","raw_affiliation_strings":["Dept. of Electronics and Communication Engineering, Thiagarajar College of Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electronics and Communication Engineering, 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":1.4225,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.85099561,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"18","issue":"9","first_page":"20210108","last_page":"20210108"},"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":0.9979000091552734,"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":0.9800000190734863,"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/field-programmable-gate-array","display_name":"Field-programmable gate array","score":0.7451077699661255},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.6820842027664185},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5678516626358032},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.489643394947052},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.40944886207580566},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.30523139238357544},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.06661996245384216}],"concepts":[{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.7451077699661255},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.6820842027664185},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5678516626358032},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.489643394947052},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.40944886207580566},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.30523139238357544},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.06661996245384216},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1587/elex.18.20210108","is_oa":true,"landing_page_url":"https://doi.org/10.1587/elex.18.20210108","pdf_url":"https://www.jstage.jst.go.jp/article/elex/18/9/18_18.20210108/_pdf","source":{"id":"https://openalex.org/S207433681","display_name":"IEICE Electronics Express","issn_l":"1349-2543","issn":["1349-2543","1349-9467"],"is_oa":true,"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.18.20210108","is_oa":true,"landing_page_url":"https://doi.org/10.1587/elex.18.20210108","pdf_url":"https://www.jstage.jst.go.jp/article/elex/18/9/18_18.20210108/_pdf","source":{"id":"https://openalex.org/S207433681","display_name":"IEICE Electronics Express","issn_l":"1349-2543","issn":["1349-2543","1349-9467"],"is_oa":true,"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":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3155688283.pdf","grobid_xml":"https://content.openalex.org/works/W3155688283.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1533899290","https://openalex.org/W1589682573","https://openalex.org/W1880212920","https://openalex.org/W1982862755","https://openalex.org/W2000879126","https://openalex.org/W2007751412","https://openalex.org/W2031132945","https://openalex.org/W2032492064","https://openalex.org/W2033203529","https://openalex.org/W2045131863","https://openalex.org/W2163064265","https://openalex.org/W2207374025","https://openalex.org/W2321801529","https://openalex.org/W2343583178","https://openalex.org/W2513793927","https://openalex.org/W2532733389","https://openalex.org/W2604743040","https://openalex.org/W2751965811","https://openalex.org/W2756619797","https://openalex.org/W2779465229","https://openalex.org/W2799121579","https://openalex.org/W2802728900","https://openalex.org/W2804959486","https://openalex.org/W2883271474","https://openalex.org/W2908656104","https://openalex.org/W2920669275","https://openalex.org/W3021821161","https://openalex.org/W3034807370"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2111241003","https://openalex.org/W4200391368","https://openalex.org/W2355315220","https://openalex.org/W2210979487","https://openalex.org/W2074043759","https://openalex.org/W2373535795","https://openalex.org/W2082487009","https://openalex.org/W2406926880"],"abstract_inverted_index":{"The":[0,51,75],"Itoh-Tsujii":[1,26],"inversion":[2,27,55],"algorithm":[3,28],"forms":[4],"a":[5,23],"major":[6],"contribution":[7],"in":[8,12],"finding":[9],"the":[10,33,72,80,89],"inverse":[11,35],"cryptographic":[13],"applications":[14],"such":[15],"as":[16],"Elliptic":[17],"Curve":[18],"Cryptography.":[19],"In":[20],"this":[21],"paper,":[22],"new":[24],"Hex":[25,52],"is":[29,60],"proposed":[30,58,81],"to":[31],"compute":[32],"multiplicative":[34],"efficiently":[36],"on":[37],"Field-Programmable":[38],"Gate-arrays":[39],"(FPGA)":[40],"platforms":[41],"for":[42],"binary":[43],"fields":[44],"generated":[45],"by":[46],"NIST":[47],"recommended":[48],"irreducible":[49],"trinomials.":[50],"Itoh":[53],"Tsujii":[54],"Algorithm":[56],"based":[57],"architecture":[59],"constructed":[61],"with":[62,88],"hex":[63],"circuits":[64],"and":[65],"quad":[66],"addition":[67],"chain.":[68],"This":[69],"combination":[70],"improves":[71],"resource":[73],"utilization.":[74],"experimental":[76],"results":[77],"shows":[78],"that":[79],"work":[82],"has":[83],"better":[84],"Area-Time":[85],"Performance":[86],"compared":[87],"existing":[90],"implementation.":[91]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}