{"id":"https://openalex.org/W2166450779","doi":"https://doi.org/10.1109/isvlsi.2004.1339564","title":"Parallel programmable finite field GF (2/sup m/) multipliers","display_name":"Parallel programmable finite field GF (2/sup m/) multipliers","publication_year":2004,"publication_date":"2004-10-04","ids":{"openalex":"https://openalex.org/W2166450779","doi":"https://doi.org/10.1109/isvlsi.2004.1339564","mag":"2166450779"},"language":"en","primary_location":{"id":"doi:10.1109/isvlsi.2004.1339564","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isvlsi.2004.1339564","pdf_url":null,"source":{"id":"https://openalex.org/S4306418593","display_name":"IEEE Computer Society Annual Symposium on VLSI","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Computer Society Annual Symposium on VLSI","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/A5019316243","display_name":"Nick Iliev","orcid":"https://orcid.org/0000-0001-9645-3810"},"institutions":[{"id":"https://openalex.org/I180949307","display_name":"Illinois Institute of Technology","ror":"https://ror.org/037t3ry66","country_code":"US","type":"education","lineage":["https://openalex.org/I180949307"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"N. Iliev","raw_affiliation_strings":["VLSI Computer Architecture, Arithmetic and CAD Research Laboratory, Department of Electrical and Computer Engineering, Illinois Institute of Technology, Chicago, IL, USA"],"affiliations":[{"raw_affiliation_string":"VLSI Computer Architecture, Arithmetic and CAD Research Laboratory, Department of Electrical and Computer Engineering, Illinois Institute of Technology, Chicago, IL, USA","institution_ids":["https://openalex.org/I180949307"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033770307","display_name":"James E. Stine","orcid":"https://orcid.org/0000-0001-8767-390X"},"institutions":[{"id":"https://openalex.org/I180949307","display_name":"Illinois Institute of Technology","ror":"https://ror.org/037t3ry66","country_code":"US","type":"education","lineage":["https://openalex.org/I180949307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J.E. Stine","raw_affiliation_strings":["VLSI Computer Architecture, Arithmetic and CAD Research Laboratory, Department of Electrical and Computer Engineering, Illinois Institute of Technology, Chicago, IL, USA"],"affiliations":[{"raw_affiliation_string":"VLSI Computer Architecture, Arithmetic and CAD Research Laboratory, Department of Electrical and Computer Engineering, Illinois Institute of Technology, Chicago, IL, USA","institution_ids":["https://openalex.org/I180949307"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041698256","display_name":"N. Jachimiec","orcid":null},"institutions":[{"id":"https://openalex.org/I180949307","display_name":"Illinois Institute of Technology","ror":"https://ror.org/037t3ry66","country_code":"US","type":"education","lineage":["https://openalex.org/I180949307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"N. Jachimiec","raw_affiliation_strings":["VLSI Computer Architecture, Arithmetic and CAD Research Laboratory, Department of Electrical and Computer Engineering, Illinois Institute of Technology, Chicago, IL, USA"],"affiliations":[{"raw_affiliation_string":"VLSI Computer Architecture, Arithmetic and CAD Research Laboratory, Department of Electrical and Computer Engineering, Illinois Institute of Technology, Chicago, IL, USA","institution_ids":["https://openalex.org/I180949307"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5019316243"],"corresponding_institution_ids":["https://openalex.org/I180949307"],"apc_list":null,"apc_paid":null,"fwci":1.6481,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.84432945,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"299","last_page":"302"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9994999766349792,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9796000123023987,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.7479778528213501},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5276954174041748},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.49205654859542847},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.48493483662605286},{"id":"https://openalex.org/keywords/field-programmable-gate-array","display_name":"Field-programmable gate array","score":0.4471122920513153},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.3728106617927551},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3417678475379944},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2818449139595032},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.22815954685211182},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.1850002110004425},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11377614736557007}],"concepts":[{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.7479778528213501},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5276954174041748},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.49205654859542847},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.48493483662605286},{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.4471122920513153},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3728106617927551},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3417678475379944},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2818449139595032},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.22815954685211182},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.1850002110004425},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11377614736557007}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isvlsi.2004.1339564","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isvlsi.2004.1339564","pdf_url":null,"source":{"id":"https://openalex.org/S4306418593","display_name":"IEEE Computer Society Annual Symposium on VLSI","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Computer Society Annual Symposium on VLSI","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":8,"referenced_works":["https://openalex.org/W1496108277","https://openalex.org/W1557690009","https://openalex.org/W1587576127","https://openalex.org/W2116370948","https://openalex.org/W2122152825","https://openalex.org/W2156709477","https://openalex.org/W2157679806","https://openalex.org/W6677287529"],"related_works":["https://openalex.org/W2965967938","https://openalex.org/W2073045545","https://openalex.org/W2141948072","https://openalex.org/W2385361820","https://openalex.org/W2335592298","https://openalex.org/W2035947216","https://openalex.org/W3189203646","https://openalex.org/W4309575817","https://openalex.org/W1994289222","https://openalex.org/W4298841491"],"abstract_inverted_index":{"Block":[0],"(cyclic)":[1],"channel":[2],"coding":[3],"standards":[4],"for":[5,30],"third":[6],"generation":[7],"cellular":[8],"networks":[9],"require":[10],"the":[11,49,74],"implementation":[12],"of":[13,51],"high-performance":[14],"burst-error":[15],"detection":[16],"and":[17,32,63,100,108],"correction":[18],"algorithms.":[19],"Galois":[20],"field":[21],"(GF)":[22],"arithmetic":[23],"is":[24,93,96],"commonly":[25],"used":[26],"in":[27],"this":[28,71],"architecture":[29],"encoding":[31],"decoding":[33],"error":[34],"codes,":[35],"however,":[36],"many":[37],"architectures":[38],"still":[39],"do":[40],"not":[41],"support":[42],"dedicated":[43],"functional":[44],"units.":[45],"This":[46],"paper":[47],"presents":[48],"design":[50,72,92],"a":[52,91,97],"generic":[53],"parallel":[54],"finite-field":[55,101],"GF":[56,102],"(2/sup":[57,103],"m/)":[58,104],"multiplier":[59],"targeted":[60],"at":[61],"DSP":[62],"embedded":[64],"processors.":[65],"As":[66],"opposed":[67],"to":[68,76,87],"previous":[69],"research,":[70],"has":[73],"ability":[75],"utilize":[77],"different":[78],"primitive":[79],"polynomials":[80],"as":[81],"an":[82],"input,":[83],"thereby,":[84],"being":[85],"able":[86],"be":[88],"programmable.":[89],"Moreover,":[90],"presented":[94,113],"that":[95],"combined":[98],"binary":[99],"multiplier.":[105],"Area,":[106],"delay,":[107],"power":[109],"dissipation":[110],"results":[111],"are":[112],"from":[114],"several":[115],"ASIC":[116],"libraries.":[117]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}