{"id":"https://openalex.org/W2920501614","doi":"https://doi.org/10.1109/tencon.2018.8650149","title":"Construction of a Low Multiplicative Complexity GF (2<sup>4</sup>) Inversion Circuit for Compact AES S-Box","display_name":"Construction of a Low Multiplicative Complexity GF (2<sup>4</sup>) Inversion Circuit for Compact AES S-Box","publication_year":2018,"publication_date":"2018-10-01","ids":{"openalex":"https://openalex.org/W2920501614","doi":"https://doi.org/10.1109/tencon.2018.8650149","mag":"2920501614"},"language":"en","primary_location":{"id":"doi:10.1109/tencon.2018.8650149","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tencon.2018.8650149","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"TENCON 2018 - 2018 IEEE Region 10 Conference","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/A5084909611","display_name":"Jia Jun Tay","orcid":null},"institutions":[{"id":"https://openalex.org/I96413208","display_name":"Swinburne University of Technology Sarawak Campus","ror":"https://ror.org/014cjmc76","country_code":"MY","type":"education","lineage":["https://openalex.org/I57093077","https://openalex.org/I96413208"]}],"countries":["MY"],"is_corresponding":true,"raw_author_name":"Jia Jun Tay","raw_affiliation_strings":["Faculty of Engineering, Computing and Science, Swinburne University of Technology Sarawak Campus, Sarawak, Malaysia"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Computing and Science, Swinburne University of Technology Sarawak Campus, Sarawak, Malaysia","institution_ids":["https://openalex.org/I96413208"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091088009","display_name":"M. L. Dennis Wong","orcid":"https://orcid.org/0000-0001-5068-4402"},"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"]},{"id":"https://openalex.org/I4210085930","display_name":"Heriot-Watt University Malaysia","ror":"https://ror.org/0059w0420","country_code":"MY","type":"education","lineage":["https://openalex.org/I4210085930"]}],"countries":["MY","SG"],"is_corresponding":false,"raw_author_name":"M. L. Dennis Wong","raw_affiliation_strings":["Heriot-Watt University Malaysia, Putrajaya, Malaysia","School of Computer Science and Engineering, Nanyang Technological University, Singapore"],"affiliations":[{"raw_affiliation_string":"Heriot-Watt University Malaysia, Putrajaya, Malaysia","institution_ids":["https://openalex.org/I4210085930"]},{"raw_affiliation_string":"School of Computer Science and Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021584648","display_name":"Ming Ming Wong","orcid":"https://orcid.org/0000-0002-6420-1202"},"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"]},{"id":"https://openalex.org/I4210085930","display_name":"Heriot-Watt University Malaysia","ror":"https://ror.org/0059w0420","country_code":"MY","type":"education","lineage":["https://openalex.org/I4210085930"]}],"countries":["MY","SG"],"is_corresponding":false,"raw_author_name":"Ming Ming Wong","raw_affiliation_strings":["Heriot-Watt University Malaysia, Putrajaya, Malaysia","School of Computer Science and Engineering, Nanyang Technological University, Singapore"],"affiliations":[{"raw_affiliation_string":"Heriot-Watt University Malaysia, Putrajaya, Malaysia","institution_ids":["https://openalex.org/I4210085930"]},{"raw_affiliation_string":"School of Computer Science and Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064960678","display_name":"Cishen Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I57093077","display_name":"Swinburne University of Technology","ror":"https://ror.org/031rekg67","country_code":"AU","type":"education","lineage":["https://openalex.org/I57093077"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Cishen Zhang","raw_affiliation_strings":["Faculty of Science, Engineering and Technology, Swinburne University of Technology Hawthorn Campus, Victoria, Australia"],"affiliations":[{"raw_affiliation_string":"Faculty of Science, Engineering and Technology, Swinburne University of Technology Hawthorn Campus, Victoria, Australia","institution_ids":["https://openalex.org/I57093077"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059965151","display_name":"Ismat Hijazin","orcid":null},"institutions":[{"id":"https://openalex.org/I57093077","display_name":"Swinburne University of Technology","ror":"https://ror.org/031rekg67","country_code":"AU","type":"education","lineage":["https://openalex.org/I57093077"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Ismat Hijazin","raw_affiliation_strings":["Faculty of Science, Engineering and Technology, Swinburne University of Technology Hawthorn Campus, Victoria, Australia"],"affiliations":[{"raw_affiliation_string":"Faculty of Science, Engineering and Technology, Swinburne University of Technology Hawthorn Campus, Victoria, Australia","institution_ids":["https://openalex.org/I57093077"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5084909611"],"corresponding_institution_ids":["https://openalex.org/I96413208"],"apc_list":null,"apc_paid":null,"fwci":0.3258,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.69756133,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"0540","last_page":"0544"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","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/T10951","display_name":"Cryptographic Implementations and Security","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/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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":0.9959999918937683,"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/multiplicative-function","display_name":"Multiplicative function","score":0.8103772401809692},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.573045015335083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46409860253334045},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46279147267341614},{"id":"https://openalex.org/keywords/multiplicative-inverse","display_name":"Multiplicative inverse","score":0.4545426368713379},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40536805987358093},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38517701625823975},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3777664005756378},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.350415974855423},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07530200481414795}],"concepts":[{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.8103772401809692},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.573045015335083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46409860253334045},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46279147267341614},{"id":"https://openalex.org/C157351203","wikidata":"https://www.wikidata.org/wiki/Q216906","display_name":"Multiplicative inverse","level":3,"score":0.4545426368713379},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40536805987358093},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38517701625823975},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3777664005756378},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.350415974855423},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07530200481414795},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tencon.2018.8650149","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tencon.2018.8650149","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"TENCON 2018 - 2018 IEEE Region 10 Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:researchbank.swinburne.edu.au:9b89b3b1-51b4-458c-8821-a6ffb8170927/1","is_oa":false,"landing_page_url":"http://hdl.handle.net/1959.3/448507","pdf_url":null,"source":{"id":"https://openalex.org/S4306401157","display_name":"Swinburne Research Bank (Swinburne University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I57093077","host_organization_name":"Swinburne University of Technology","host_organization_lineage":["https://openalex.org/I57093077"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the 2018 IEEE Region 10 Conference (TENCON 2018), Jeju, Korea, 28-31 October 2018, Vol. 2018-October, pp. 540-544","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W74404479","https://openalex.org/W1499906440","https://openalex.org/W1703129327","https://openalex.org/W1975065807","https://openalex.org/W2003858108","https://openalex.org/W2112244944","https://openalex.org/W2126260501","https://openalex.org/W2127752881","https://openalex.org/W2148578019","https://openalex.org/W2149174385","https://openalex.org/W2263484786","https://openalex.org/W2750598814","https://openalex.org/W2786667430","https://openalex.org/W2793458514","https://openalex.org/W3123523937","https://openalex.org/W6603015574","https://openalex.org/W6750045826"],"related_works":["https://openalex.org/W3098342754","https://openalex.org/W4312742439","https://openalex.org/W4313513739","https://openalex.org/W4233505935","https://openalex.org/W4313642433","https://openalex.org/W4313513695","https://openalex.org/W3175552624","https://openalex.org/W4223631291","https://openalex.org/W4313466780","https://openalex.org/W3104006239"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3],"construct":[4],"a":[5,12],"compact":[6],"composite":[7],"AES":[8,72],"S-Box":[9,73],"by":[10],"deriving":[11],"new":[13],"low":[14],"multiplicative":[15,42],"complexity":[16],"GF":[17,57],"(2":[18,58],"<sup":[19,59],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[20,60],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">4</sup>":[21,61],")":[22,62],"inversion":[23],"circuit.":[24],"A":[25],"deterministic":[26],"tree":[27],"search":[28,33],"algorithm":[29],"is":[30,54],"applied":[31],"to":[32,79],"for":[34,56],"constructions":[35],"that":[36],"are":[37],"optimum":[38],"in":[39],"terms":[40],"of":[41,67,84,89],"complexity.":[43],"From":[44],"the":[45,47,50,65,70,75,82],"results,":[46],"circuit":[48],"with":[49,81],"smallest":[51,76],"gate":[52,77],"count":[53,78],"selected":[55],"inversion.":[63],"To":[64],"best":[66],"our":[68],"knowledge,":[69],"proposed":[71],"requires":[74],"date":[80],"size":[83],"112":[85],"gates":[86],"and":[87],"depth":[88],"25":[90],"gates.":[91]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2019-03-11T00:00:00"}