{"id":"https://openalex.org/W2500084106","doi":"https://doi.org/10.1007/978-3-662-53018-4_23","title":"Lightweight Multiplication in $$GF(2^n)$$ with Applications to MDS Matrices","display_name":"Lightweight Multiplication in $$GF(2^n)$$ with Applications to MDS Matrices","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2500084106","doi":"https://doi.org/10.1007/978-3-662-53018-4_23","mag":"2500084106"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-662-53018-4_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-53018-4_23","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/A5037504840","display_name":"Christof Beierle","orcid":"https://orcid.org/0000-0002-5558-0722"},"institutions":[{"id":"https://openalex.org/I904495901","display_name":"Ruhr University Bochum","ror":"https://ror.org/04tsk2644","country_code":"DE","type":"education","lineage":["https://openalex.org/I904495901"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Christof Beierle","raw_affiliation_strings":["Horst G\u00f6rtz Institute for IT Security, Ruhr-Universit\u00e4t Bochum, Bochum, Germany"],"affiliations":[{"raw_affiliation_string":"Horst G\u00f6rtz Institute for IT Security, Ruhr-Universit\u00e4t Bochum, Bochum, Germany","institution_ids":["https://openalex.org/I904495901"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018073306","display_name":"Thorsten Kranz","orcid":null},"institutions":[{"id":"https://openalex.org/I904495901","display_name":"Ruhr University Bochum","ror":"https://ror.org/04tsk2644","country_code":"DE","type":"education","lineage":["https://openalex.org/I904495901"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thorsten Kranz","raw_affiliation_strings":["Horst G\u00f6rtz Institute for IT Security, Ruhr-Universit\u00e4t Bochum, Bochum, Germany"],"affiliations":[{"raw_affiliation_string":"Horst G\u00f6rtz Institute for IT Security, Ruhr-Universit\u00e4t Bochum, Bochum, Germany","institution_ids":["https://openalex.org/I904495901"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078330300","display_name":"Gregor Leander","orcid":"https://orcid.org/0000-0002-2579-8587"},"institutions":[{"id":"https://openalex.org/I904495901","display_name":"Ruhr University Bochum","ror":"https://ror.org/04tsk2644","country_code":"DE","type":"education","lineage":["https://openalex.org/I904495901"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gregor Leander","raw_affiliation_strings":["Horst G\u00f6rtz Institute for IT Security, Ruhr-Universit\u00e4t Bochum, Bochum, Germany"],"affiliations":[{"raw_affiliation_string":"Horst G\u00f6rtz Institute for IT Security, Ruhr-Universit\u00e4t Bochum, Bochum, Germany","institution_ids":["https://openalex.org/I904495901"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5037504840"],"corresponding_institution_ids":["https://openalex.org/I904495901"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":8.4657,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.98360428,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"625","last_page":"653"},"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9994000196456909,"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":0.9993000030517578,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.8765615820884705},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7871977090835571},{"id":"https://openalex.org/keywords/gf","display_name":"GF(2)","score":0.7232974767684937},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.7086065411567688},{"id":"https://openalex.org/keywords/multiplication-algorithm","display_name":"Multiplication algorithm","score":0.679435670375824},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.588883101940155},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5529268383979797},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5507630705833435},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5356239080429077},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.533299446105957},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5329063534736633},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5250149369239807},{"id":"https://openalex.org/keywords/normal-basis","display_name":"Normal basis","score":0.44018393754959106},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.336948037147522},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18500593304634094},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1798233687877655},{"id":"https://openalex.org/keywords/galois-theory","display_name":"Galois theory","score":0.07991284132003784},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07491013407707214},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.0649709403514862}],"concepts":[{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.8765615820884705},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7871977090835571},{"id":"https://openalex.org/C156350748","wikidata":"https://www.wikidata.org/wiki/Q5513324","display_name":"GF(2)","level":3,"score":0.7232974767684937},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.7086065411567688},{"id":"https://openalex.org/C201290732","wikidata":"https://www.wikidata.org/wiki/Q130762","display_name":"Multiplication algorithm","level":3,"score":0.679435670375824},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.588883101940155},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5529268383979797},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5507630705833435},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5356239080429077},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.533299446105957},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5329063534736633},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5250149369239807},{"id":"https://openalex.org/C205567592","wikidata":"https://www.wikidata.org/wiki/Q3527199","display_name":"Normal basis","level":3,"score":0.44018393754959106},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.336948037147522},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18500593304634094},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1798233687877655},{"id":"https://openalex.org/C94398972","wikidata":"https://www.wikidata.org/wiki/Q92552","display_name":"Galois theory","level":2,"score":0.07991284132003784},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07491013407707214},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0649709403514862},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-662-53018-4_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-53018-4_23","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W17122945","https://openalex.org/W35428663","https://openalex.org/W66229595","https://openalex.org/W98521887","https://openalex.org/W157243396","https://openalex.org/W163970851","https://openalex.org/W930621015","https://openalex.org/W1518029257","https://openalex.org/W1569612250","https://openalex.org/W1606480398","https://openalex.org/W1629301835","https://openalex.org/W1964723977","https://openalex.org/W1991484676","https://openalex.org/W2006157923","https://openalex.org/W2016560440","https://openalex.org/W2031617305","https://openalex.org/W2079047661","https://openalex.org/W2109265351","https://openalex.org/W2141124495","https://openalex.org/W2242540160","https://openalex.org/W2409722729","https://openalex.org/W2478399942","https://openalex.org/W2503098516","https://openalex.org/W2505213174","https://openalex.org/W2612330495","https://openalex.org/W2797315706","https://openalex.org/W4231829423","https://openalex.org/W4241072010","https://openalex.org/W4252799614"],"related_works":["https://openalex.org/W2041716860","https://openalex.org/W2587136861","https://openalex.org/W2142116768","https://openalex.org/W2053479561","https://openalex.org/W2378104619","https://openalex.org/W2394069657","https://openalex.org/W2792274250","https://openalex.org/W2782829790","https://openalex.org/W2500084106","https://openalex.org/W1984561661"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}