{"id":"https://openalex.org/W1606715136","doi":"https://doi.org/10.1007/978-3-540-45234-8_136","title":"A New Reconfigurable-Oriented Method for Canonical Basis Multiplication over a Class of Finite Fields GF(2m)","display_name":"A New Reconfigurable-Oriented Method for Canonical Basis Multiplication over a Class of Finite Fields GF(2m)","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1606715136","doi":"https://doi.org/10.1007/978-3-540-45234-8_136","mag":"1606715136"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-45234-8_136","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-45234-8_136","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5041677215","display_name":"Jos\u00e9 Luis Ima\u00f1a","orcid":"https://orcid.org/0000-0002-4220-4111"},"institutions":[{"id":"https://openalex.org/I121748325","display_name":"Universidad Complutense de Madrid","ror":"https://ror.org/02p0gd045","country_code":"ES","type":"education","lineage":["https://openalex.org/I121748325"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jos\u00e9 Luis Ima\u00f1a","raw_affiliation_strings":["Dpto. Arquitectura de Computadores y Autom\u00e1tica, Universidad Complutense, 28040, Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Dpto. Arquitectura de Computadores y Autom\u00e1tica, Universidad Complutense, 28040, Madrid, Spain","institution_ids":["https://openalex.org/I121748325"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100727040","display_name":"Juan M. S\u00e1nchez\u2010Guzm\u00e1n","orcid":"https://orcid.org/0000-0002-0484-6308"},"institutions":[{"id":"https://openalex.org/I80606768","display_name":"Universidad de Extremadura","ror":"https://ror.org/0174shg90","country_code":"ES","type":"education","lineage":["https://openalex.org/I80606768"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Juan Manuel S\u00e1nchez","raw_affiliation_strings":["Dpto. Inform\u00e1tica, Escuela Polit\u00e9cnica, Universidad de Extremadura, 10071, C\u00e1ceres, Spain"],"affiliations":[{"raw_affiliation_string":"Dpto. Inform\u00e1tica, Escuela Polit\u00e9cnica, Universidad de Extremadura, 10071, C\u00e1ceres, Spain","institution_ids":["https://openalex.org/I80606768"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041677215"],"corresponding_institution_ids":["https://openalex.org/I121748325"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.1069,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.79187479,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1127","last_page":"1130"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T11130","display_name":"Coding theory and cryptography","score":0.9948999881744385,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.978600025177002,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/gf","display_name":"GF(2)","score":0.7797846794128418},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.7569987773895264},{"id":"https://openalex.org/keywords/standard-basis","display_name":"Standard basis","score":0.7337571382522583},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.7134770154953003},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.7103518843650818},{"id":"https://openalex.org/keywords/polynomial-basis","display_name":"Polynomial basis","score":0.6125978231430054},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5681018233299255},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5497168302536011},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5148857831954956},{"id":"https://openalex.org/keywords/normal-basis","display_name":"Normal basis","score":0.49670320749282837},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.43600353598594666},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4213908910751343},{"id":"https://openalex.org/keywords/canonical-form","display_name":"Canonical form","score":0.4196470379829407},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41941943764686584},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38177359104156494},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2787575423717499},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1883004903793335},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12879925966262817},{"id":"https://openalex.org/keywords/galois-theory","display_name":"Galois theory","score":0.08033904433250427},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05622786283493042}],"concepts":[{"id":"https://openalex.org/C156350748","wikidata":"https://www.wikidata.org/wiki/Q5513324","display_name":"GF(2)","level":3,"score":0.7797846794128418},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.7569987773895264},{"id":"https://openalex.org/C41054515","wikidata":"https://www.wikidata.org/wiki/Q2000912","display_name":"Standard basis","level":2,"score":0.7337571382522583},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.7134770154953003},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.7103518843650818},{"id":"https://openalex.org/C2778406171","wikidata":"https://www.wikidata.org/wiki/Q6901742","display_name":"Polynomial basis","level":2,"score":0.6125978231430054},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5681018233299255},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5497168302536011},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5148857831954956},{"id":"https://openalex.org/C205567592","wikidata":"https://www.wikidata.org/wiki/Q3527199","display_name":"Normal basis","level":3,"score":0.49670320749282837},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.43600353598594666},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4213908910751343},{"id":"https://openalex.org/C204707403","wikidata":"https://www.wikidata.org/wiki/Q1152398","display_name":"Canonical form","level":2,"score":0.4196470379829407},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41941943764686584},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38177359104156494},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2787575423717499},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1883004903793335},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12879925966262817},{"id":"https://openalex.org/C94398972","wikidata":"https://www.wikidata.org/wiki/Q92552","display_name":"Galois theory","level":2,"score":0.08033904433250427},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05622786283493042},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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:10.1007/978-3-540-45234-8_136","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-45234-8_136","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1515926918","https://openalex.org/W1586256766","https://openalex.org/W2038884834","https://openalex.org/W2091095778","https://openalex.org/W2111351274","https://openalex.org/W2122152825","https://openalex.org/W2145254449","https://openalex.org/W2914281158"],"related_works":["https://openalex.org/W2182826407","https://openalex.org/W4231082137","https://openalex.org/W2002742877","https://openalex.org/W2587136861","https://openalex.org/W3149313810","https://openalex.org/W1492702491","https://openalex.org/W2041716860","https://openalex.org/W1606715136","https://openalex.org/W2151777671","https://openalex.org/W2083708986"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-16T15:07:20.185449","created_date":"2025-10-10T00:00:00"}