{"id":"https://openalex.org/W2480791601","doi":"https://doi.org/10.1109/iscas.2002.1010239","title":"Polynomial expansions over GF(2) based on fastest transformation","display_name":"Polynomial expansions over GF(2) based on fastest transformation","publication_year":2003,"publication_date":"2003-06-25","ids":{"openalex":"https://openalex.org/W2480791601","doi":"https://doi.org/10.1109/iscas.2002.1010239","mag":"2480791601"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2002.1010239","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2002.1010239","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353)","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/A5054558832","display_name":"Susanto Rahardja","orcid":"https://orcid.org/0000-0003-0831-6934"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"S. Rahardja","raw_affiliation_strings":["School of Electrical & Electronic Engineering Block S1, Nanyang Technological University, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical & Electronic Engineering Block S1, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016478346","display_name":"B.J. Falkowski","orcid":null},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"B.J. Falkowski","raw_affiliation_strings":["School of Electrical & Electronic Engineering Block S1, Nanyang Technological University, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical & Electronic Engineering Block S1, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":null,"apc_paid":null,"fwci":2.5201,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.90166504,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":null,"first_page":"III","last_page":"377"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9898999929428101,"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"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9898999929428101,"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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9891999959945679,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9871000051498413,"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/gf","display_name":"GF(2)","score":0.702143669128418},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6280364990234375},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.6143031716346741},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6133815050125122},{"id":"https://openalex.org/keywords/primitive-polynomial","display_name":"Primitive polynomial","score":0.4853709936141968},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.48344287276268005},{"id":"https://openalex.org/keywords/digital-electronics","display_name":"Digital electronics","score":0.4142100512981415},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4068985879421234},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.34329724311828613},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.31188738346099854},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24298891425132751}],"concepts":[{"id":"https://openalex.org/C156350748","wikidata":"https://www.wikidata.org/wiki/Q5513324","display_name":"GF(2)","level":3,"score":0.702143669128418},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6280364990234375},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.6143031716346741},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6133815050125122},{"id":"https://openalex.org/C41620472","wikidata":"https://www.wikidata.org/wiki/Q1458669","display_name":"Primitive polynomial","level":3,"score":0.4853709936141968},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.48344287276268005},{"id":"https://openalex.org/C81843906","wikidata":"https://www.wikidata.org/wiki/Q173156","display_name":"Digital electronics","level":3,"score":0.4142100512981415},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4068985879421234},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.34329724311828613},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.31188738346099854},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24298891425132751},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas.2002.1010239","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2002.1010239","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1498138768","https://openalex.org/W1975442699","https://openalex.org/W2119617508","https://openalex.org/W2148578809","https://openalex.org/W2152547303","https://openalex.org/W2154206774"],"related_works":["https://openalex.org/W1825396486","https://openalex.org/W843373033","https://openalex.org/W2587136861","https://openalex.org/W2152190924","https://openalex.org/W2746739863","https://openalex.org/W2351523304","https://openalex.org/W1995503477","https://openalex.org/W2145897696","https://openalex.org/W2149204794","https://openalex.org/W1969425915"],"abstract_inverted_index":{"Recent":[0],"papers":[1],"show":[2],"that":[3,17],"the":[4,21,55],"existence":[5],"of":[6,23,37,64],"numerous":[7],"linearly":[8],"independent":[9],"(LI)":[10],"transformations":[11,40],"in":[12,20,62],"GF(2)":[13,47,66],"algebra":[14],"creates":[15],"circuits":[16],"are":[18,48,54],"superior":[19],"design":[22],"XOR":[24],"based":[25],"polynomial":[26,44],"expansions":[27,45],"and":[28,41,50,57],"corresponding":[29,43],"digital":[30],"circuits.":[31],"In":[32],"this":[33],"paper,":[34],"new":[35],"classes":[36],"LI":[38,60],"logic":[39],"their":[42],"over":[46],"identified":[49],"introduced.":[51],"The":[52],"transforms":[53],"fastest":[56],"most":[58],"efficient":[59],"transformation":[61],"terms":[63],"its":[65],"computational":[67],"complexity.":[68]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}