{"id":"https://openalex.org/W1969474067","doi":"https://doi.org/10.1007/s11265-008-0164-z","title":"New Bit-Parallel Systolic Architectures for Computing Multiplication, Multiplicative Inversion and Division in GF(2m) Under Polynomial Basis and Normal Basis Representations","display_name":"New Bit-Parallel Systolic Architectures for Computing Multiplication, Multiplicative Inversion and Division in GF(2m) Under Polynomial Basis and Normal Basis Representations","publication_year":2008,"publication_date":"2008-02-28","ids":{"openalex":"https://openalex.org/W1969474067","doi":"https://doi.org/10.1007/s11265-008-0164-z","mag":"1969474067"},"language":"en","primary_location":{"id":"doi:10.1007/s11265-008-0164-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11265-008-0164-z","pdf_url":null,"source":{"id":"https://openalex.org/S11258463","display_name":"Journal of Signal Processing Systems","issn_l":"1939-8018","issn":["1939-8018","1939-8115"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Signal Processing Systems","raw_type":"journal-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/A5088009977","display_name":"Chiou\u2010Yng Lee","orcid":"https://orcid.org/0000-0002-5344-7434"},"institutions":[{"id":"https://openalex.org/I50519452","display_name":"Lunghwa University of Science and Technology","ror":"https://ror.org/001y2wd07","country_code":"TW","type":"education","lineage":["https://openalex.org/I50519452"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Chiou-Yng Lee","raw_affiliation_strings":["Department of Computer Information and Network Engineering, Lunghwa University of Science and Technology, Taoyuan County 333, Taiwan, Republic of China","Department of Computer Information and Network Engineering, Lunghwa University of Science and Technology, Taiwan, Republic of China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Information and Network Engineering, Lunghwa University of Science and Technology, Taoyuan County 333, Taiwan, Republic of China","institution_ids":["https://openalex.org/I50519452"]},{"raw_affiliation_string":"Department of Computer Information and Network Engineering, Lunghwa University of Science and Technology, Taiwan, Republic of China#TAB#","institution_ids":["https://openalex.org/I50519452"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041404941","display_name":"Che Wun Chiou","orcid":"https://orcid.org/0000-0002-9588-4210"},"institutions":[{"id":"https://openalex.org/I165106657","display_name":"Chien Hsin University of Science and Technology","ror":"https://ror.org/05fbv4544","country_code":"TW","type":"education","lineage":["https://openalex.org/I165106657"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Che Wun Chiou","raw_affiliation_strings":["Department of Computer Science and Information Engineering, Ching Yun University, Chung-Li 320, Taiwan, Republic of China","Department of Computer Science and Information Engineering, Ching Yun University, Taiwan, Republic of China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Information Engineering, Ching Yun University, Chung-Li 320, Taiwan, Republic of China","institution_ids":["https://openalex.org/I165106657"]},{"raw_affiliation_string":"Department of Computer Science and Information Engineering, Ching Yun University, Taiwan, Republic of China#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088009977"],"corresponding_institution_ids":["https://openalex.org/I50519452"],"apc_list":{"value":2490,"currency":"EUR","value_usd":3090},"apc_paid":null,"fwci":1.769,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.87099809,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"52","issue":"3","first_page":"313","last_page":"324"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9998000264167786,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9944000244140625,"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/gf","display_name":"GF(2)","score":0.7043504118919373},{"id":"https://openalex.org/keywords/xor-gate","display_name":"XOR gate","score":0.695357620716095},{"id":"https://openalex.org/keywords/very-large-scale-integration","display_name":"Very-large-scale integration","score":0.6129006147384644},{"id":"https://openalex.org/keywords/polynomial-basis","display_name":"Polynomial basis","score":0.5994471311569214},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.598185658454895},{"id":"https://openalex.org/keywords/normal-basis","display_name":"Normal basis","score":0.5539330244064331},{"id":"https://openalex.org/keywords/systolic-array","display_name":"Systolic array","score":0.5470066070556641},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.5438074469566345},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5427337884902954},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.5271111130714417},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5023086071014404},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.4375557005405426},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.42349809408187866},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4231172204017639},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.41866743564605713},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.358651340007782},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.34604886174201965},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2615906000137329},{"id":"https://openalex.org/keywords/logic-gate","display_name":"Logic gate","score":0.249271422624588},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.23166686296463013},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10952866077423096}],"concepts":[{"id":"https://openalex.org/C156350748","wikidata":"https://www.wikidata.org/wiki/Q5513324","display_name":"GF(2)","level":3,"score":0.7043504118919373},{"id":"https://openalex.org/C28495749","wikidata":"https://www.wikidata.org/wiki/Q155516","display_name":"XOR gate","level":3,"score":0.695357620716095},{"id":"https://openalex.org/C14580979","wikidata":"https://www.wikidata.org/wiki/Q876049","display_name":"Very-large-scale integration","level":2,"score":0.6129006147384644},{"id":"https://openalex.org/C2778406171","wikidata":"https://www.wikidata.org/wiki/Q6901742","display_name":"Polynomial basis","level":2,"score":0.5994471311569214},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.598185658454895},{"id":"https://openalex.org/C205567592","wikidata":"https://www.wikidata.org/wiki/Q3527199","display_name":"Normal basis","level":3,"score":0.5539330244064331},{"id":"https://openalex.org/C150741067","wikidata":"https://www.wikidata.org/wiki/Q2377218","display_name":"Systolic array","level":3,"score":0.5470066070556641},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.5438074469566345},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5427337884902954},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.5271111130714417},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5023086071014404},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.4375557005405426},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.42349809408187866},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4231172204017639},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.41866743564605713},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.358651340007782},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.34604886174201965},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2615906000137329},{"id":"https://openalex.org/C131017901","wikidata":"https://www.wikidata.org/wiki/Q170451","display_name":"Logic gate","level":2,"score":0.249271422624588},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.23166686296463013},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10952866077423096},{"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/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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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},{"id":"https://openalex.org/C94398972","wikidata":"https://www.wikidata.org/wiki/Q92552","display_name":"Galois theory","level":2,"score":0.0},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11265-008-0164-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11265-008-0164-z","pdf_url":null,"source":{"id":"https://openalex.org/S11258463","display_name":"Journal of Signal Processing Systems","issn_l":"1939-8018","issn":["1939-8018","1939-8115"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Signal Processing Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321040","display_name":"National Science Council","ror":"https://ror.org/02kv4zf79"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W745963800","https://openalex.org/W1512914916","https://openalex.org/W1569612250","https://openalex.org/W1587576127","https://openalex.org/W1594652978","https://openalex.org/W1605312509","https://openalex.org/W1660562555","https://openalex.org/W1882297107","https://openalex.org/W1976396586","https://openalex.org/W1986771232","https://openalex.org/W2023845097","https://openalex.org/W2027045492","https://openalex.org/W2050685430","https://openalex.org/W2051495459","https://openalex.org/W2054020579","https://openalex.org/W2079873961","https://openalex.org/W2089271408","https://openalex.org/W2091899615","https://openalex.org/W2096013791","https://openalex.org/W2096920618","https://openalex.org/W2100556391","https://openalex.org/W2104939987","https://openalex.org/W2114353618","https://openalex.org/W2129786616","https://openalex.org/W2135658116","https://openalex.org/W2144669042","https://openalex.org/W2145254449","https://openalex.org/W2168229566","https://openalex.org/W6635597292","https://openalex.org/W6636261214","https://openalex.org/W6636975353","https://openalex.org/W6639317341"],"related_works":["https://openalex.org/W4231082137","https://openalex.org/W2002742877","https://openalex.org/W2182826407","https://openalex.org/W3149313810","https://openalex.org/W2587136861","https://openalex.org/W1492702491","https://openalex.org/W2018388724","https://openalex.org/W1576903769","https://openalex.org/W2141569047","https://openalex.org/W2363425320"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
