{"id":"https://openalex.org/W2072908473","doi":"https://doi.org/10.1109/iscas.2010.5537479","title":"Design of high-speed bit-serial divider in GF(2&lt;sup&gt;m&lt;/sup&gt;)","display_name":"Design of high-speed bit-serial divider in GF(2&lt;sup&gt;m&lt;/sup&gt;)","publication_year":2010,"publication_date":"2010-05-01","ids":{"openalex":"https://openalex.org/W2072908473","doi":"https://doi.org/10.1109/iscas.2010.5537479","mag":"2072908473"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2010.5537479","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2010.5537479","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of 2010 IEEE International Symposium on Circuits and Systems","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/A5025646438","display_name":"Wen-Ching Lin","orcid":null},"institutions":[{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Wen-Ching Lin","raw_affiliation_strings":["Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan","Department of Electrical Engineering, National Cheng Kung University, No.1, Ta-Hsueh Road, Tainan 70101, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan","institution_ids":["https://openalex.org/I91807558"]},{"raw_affiliation_string":"Department of Electrical Engineering, National Cheng Kung University, No.1, Ta-Hsueh Road, Tainan 70101, Taiwan","institution_ids":["https://openalex.org/I91807558"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053167526","display_name":"Ming\u2010Der Shieh","orcid":"https://orcid.org/0000-0002-7361-1860"},"institutions":[{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Ming-Der Shieh","raw_affiliation_strings":["Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan","Department of Electrical Engineering, National Cheng Kung University, No.1, Ta-Hsueh Road, Tainan 70101, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan","institution_ids":["https://openalex.org/I91807558"]},{"raw_affiliation_string":"Department of Electrical Engineering, National Cheng Kung University, No.1, Ta-Hsueh Road, Tainan 70101, Taiwan","institution_ids":["https://openalex.org/I91807558"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103047746","display_name":"Chien\u2010Ming Wu","orcid":"https://orcid.org/0000-0001-9295-7181"},"institutions":[{"id":"https://openalex.org/I4210166867","display_name":"National Applied Research Laboratories","ror":"https://ror.org/05wcstg80","country_code":"TW","type":"funder","lineage":["https://openalex.org/I4210128167","https://openalex.org/I4210166867"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Chien-Ming Wu","raw_affiliation_strings":["Chip Implementation Center CIC, National Applied Research Laboratories, Tainan, Taiwan","Chip Implementation Center (CIC), National Applied Research Laboratories"],"affiliations":[{"raw_affiliation_string":"Chip Implementation Center CIC, National Applied Research Laboratories, Tainan, Taiwan","institution_ids":["https://openalex.org/I4210166867"]},{"raw_affiliation_string":"Chip Implementation Center (CIC), National Applied Research Laboratories","institution_ids":["https://openalex.org/I4210166867"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025646438"],"corresponding_institution_ids":["https://openalex.org/I91807558"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.11864587,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"52","issue":null,"first_page":"713","last_page":"716"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9997000098228455,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/division","display_name":"Division (mathematics)","score":0.6745045781135559},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.574406623840332},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5006253719329834},{"id":"https://openalex.org/keywords/latency","display_name":"Latency (audio)","score":0.4987919330596924},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.47711828351020813},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.47007352113723755},{"id":"https://openalex.org/keywords/frequency-divider","display_name":"Frequency divider","score":0.46098124980926514},{"id":"https://openalex.org/keywords/critical-path-method","display_name":"Critical path method","score":0.4447993338108063},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4379594326019287},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34810498356819153},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3368357717990875},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14812108874320984},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.13184797763824463},{"id":"https://openalex.org/keywords/power-dividers-and-directional-couplers","display_name":"Power dividers and directional couplers","score":0.1013076901435852}],"concepts":[{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.6745045781135559},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.574406623840332},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5006253719329834},{"id":"https://openalex.org/C82876162","wikidata":"https://www.wikidata.org/wiki/Q17096504","display_name":"Latency (audio)","level":2,"score":0.4987919330596924},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.47711828351020813},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.47007352113723755},{"id":"https://openalex.org/C74982907","wikidata":"https://www.wikidata.org/wiki/Q1455624","display_name":"Frequency divider","level":3,"score":0.46098124980926514},{"id":"https://openalex.org/C115874739","wikidata":"https://www.wikidata.org/wiki/Q825377","display_name":"Critical path method","level":2,"score":0.4447993338108063},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4379594326019287},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34810498356819153},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3368357717990875},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14812108874320984},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.13184797763824463},{"id":"https://openalex.org/C202988678","wikidata":"https://www.wikidata.org/wiki/Q1417986","display_name":"Power dividers and directional couplers","level":2,"score":0.1013076901435852},{"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/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas.2010.5537479","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2010.5537479","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of 2010 IEEE International Symposium on Circuits and Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W160483608","https://openalex.org/W1501488688","https://openalex.org/W1989675557","https://openalex.org/W2018209517","https://openalex.org/W2040075573","https://openalex.org/W2060159381","https://openalex.org/W2066621394","https://openalex.org/W2102691981","https://openalex.org/W2110711133","https://openalex.org/W2123923527","https://openalex.org/W2127530860"],"related_works":["https://openalex.org/W3144043557","https://openalex.org/W2136492030","https://openalex.org/W2143888791","https://openalex.org/W3177609342","https://openalex.org/W11817457","https://openalex.org/W3011443213","https://openalex.org/W4248972354","https://openalex.org/W1999170671","https://openalex.org/W2506252583","https://openalex.org/W4238090084"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,50],"reformulated":[4,23,77],"the":[5,12,30,46,65,68,76,83,89,98],"conventional":[6],"iterative":[7],"division":[8,24],"algorithm":[9,25,78],"by":[10],"substituting":[11],"pre-defined":[13],"variable":[14,73],"and":[15,42,72,103],"then":[16],"updating":[17],"its":[18,36],"initial":[19,69],"value":[20,70],"accordingly.":[21],"The":[22],"allows":[26],"a":[27,52],"restructuring":[28],"of":[29,67],"divider":[31,87,96],"architecture":[32],"to":[33],"further":[34],"improve":[35],"operating":[37],"speed":[38],"without":[39],"increasing":[40],"latency":[41],"area":[43,104],"cost.":[44],"Using":[45],"proposed":[47,99],"fast":[48],"algorithm,":[49],"developed":[51],"high-speed":[53],"bit-serial":[54],"GF(2":[55],"<sup":[56],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[57],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">m</sup>":[58],")":[59],"divider.":[60],"Analytical":[61],"results":[62],"show":[63],"that":[64],"cost":[66],"update":[71],"transformation":[74],"in":[75,82],"is":[79],"almost":[80],"negligible":[81],"hardware":[84],"implementation.":[85],"Our":[86],"reduces":[88],"critical":[90],"path":[91],"delay.":[92],"Compared":[93],"with":[94],"related":[95],"designs,":[97],"design":[100],"has":[101],"time":[102],"advantages.":[105]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}