{"id":"https://openalex.org/W2077244142","doi":"https://doi.org/10.1145/2483028.2483106","title":"Efficient modulo 2 <sup>n</sup> +1 multiplication for the idea block cipher","display_name":"Efficient modulo 2 <sup>n</sup> +1 multiplication for the idea block cipher","publication_year":2013,"publication_date":"2013-05-02","ids":{"openalex":"https://openalex.org/W2077244142","doi":"https://doi.org/10.1145/2483028.2483106","mag":"2077244142"},"language":"en","primary_location":{"id":"doi:10.1145/2483028.2483106","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2483028.2483106","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 23rd ACM international conference on Great lakes symposium on VLSI","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/A5088085592","display_name":"Kiamal Pekmestzi","orcid":"https://orcid.org/0000-0001-8612-2700"},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Kiamal Pekmestzi","raw_affiliation_strings":["National Technical University of Athens, Athens, Greece"],"affiliations":[{"raw_affiliation_string":"National Technical University of Athens, Athens, Greece","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110093376","display_name":"C. Efstathiou","orcid":null},"institutions":[{"id":"https://openalex.org/I40479246","display_name":"Technological Educational Institute of Athens","ror":"https://ror.org/044m46d61","country_code":"GR","type":"education","lineage":["https://openalex.org/I40479246"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Constantinos Efstathiou","raw_affiliation_strings":["Technological Institute of Athens, Athens, Greece"],"affiliations":[{"raw_affiliation_string":"Technological Institute of Athens, Athens, Greece","institution_ids":["https://openalex.org/I40479246"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113594598","display_name":"Nikos Moschopoulos","orcid":null},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Nikos Moschopoulos","raw_affiliation_strings":["National Technical University of Athens, Athens, Greece"],"affiliations":[{"raw_affiliation_string":"National Technical University of Athens, Athens, Greece","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091367820","display_name":"Kostas Tsoumanis","orcid":null},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Kostas Tsoumanis","raw_affiliation_strings":["National Technical University of Athens, Athens, Greece"],"affiliations":[{"raw_affiliation_string":"National Technical University of Athens, Athens, Greece","institution_ids":["https://openalex.org/I174458059"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5088085592"],"corresponding_institution_ids":["https://openalex.org/I174458059"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09857131,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"263","last_page":"268"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9991000294685364,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9976999759674072,"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/modulo","display_name":"Modulo","score":0.9089271426200867},{"id":"https://openalex.org/keywords/modulo-operation","display_name":"Modulo operation","score":0.6734089851379395},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.6393796801567078},{"id":"https://openalex.org/keywords/operand","display_name":"Operand","score":0.617719829082489},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5393291711807251},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.5096571445465088},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.4971490204334259},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4888753294944763},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4813452661037445},{"id":"https://openalex.org/keywords/block-cipher","display_name":"Block cipher","score":0.4802594482898712},{"id":"https://openalex.org/keywords/multiplication-algorithm","display_name":"Multiplication algorithm","score":0.4490986466407776},{"id":"https://openalex.org/keywords/scalar-multiplication","display_name":"Scalar multiplication","score":0.44633281230926514},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3714921772480011},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3331465423107147},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.27338266372680664},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.1330709159374237},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11678779125213623}],"concepts":[{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.9089271426200867},{"id":"https://openalex.org/C183448482","wikidata":"https://www.wikidata.org/wiki/Q1799665","display_name":"Modulo operation","level":2,"score":0.6734089851379395},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6393796801567078},{"id":"https://openalex.org/C55526617","wikidata":"https://www.wikidata.org/wiki/Q719375","display_name":"Operand","level":2,"score":0.617719829082489},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5393291711807251},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.5096571445465088},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.4971490204334259},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4888753294944763},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4813452661037445},{"id":"https://openalex.org/C106544461","wikidata":"https://www.wikidata.org/wiki/Q543151","display_name":"Block cipher","level":3,"score":0.4802594482898712},{"id":"https://openalex.org/C201290732","wikidata":"https://www.wikidata.org/wiki/Q130762","display_name":"Multiplication algorithm","level":3,"score":0.4490986466407776},{"id":"https://openalex.org/C171182647","wikidata":"https://www.wikidata.org/wiki/Q126736","display_name":"Scalar multiplication","level":3,"score":0.44633281230926514},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3714921772480011},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3331465423107147},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.27338266372680664},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.1330709159374237},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11678779125213623},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2483028.2483106","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2483028.2483106","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 23rd ACM international conference on Great lakes symposium on VLSI","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Partnerships for the goals","score":0.44999998807907104,"id":"https://metadata.un.org/sdg/17"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320338080","display_name":"European Social Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W61992832","https://openalex.org/W1567333310","https://openalex.org/W1601793793","https://openalex.org/W1926480282","https://openalex.org/W2024821731","https://openalex.org/W2027170045","https://openalex.org/W2102672770","https://openalex.org/W2110826476","https://openalex.org/W2131647018","https://openalex.org/W2133169993","https://openalex.org/W2162519216","https://openalex.org/W2223848220","https://openalex.org/W2539487390","https://openalex.org/W6602536979","https://openalex.org/W6640294020"],"related_works":["https://openalex.org/W2967034884","https://openalex.org/W2807524344","https://openalex.org/W4381743479","https://openalex.org/W2530574867","https://openalex.org/W2082981326","https://openalex.org/W1563135249","https://openalex.org/W2113287340","https://openalex.org/W2544547513","https://openalex.org/W2378916516","https://openalex.org/W1982182766"],"abstract_inverted_index":{"International":[0],"Data":[1],"Encryption":[2],"Algorithm":[3],"(IDEA)":[4],"is":[5,37,60],"a":[6,103],"popular":[7],"and":[8,25,42,81,88,119],"secure":[9],"cryptography":[10],"algorithm,":[11],"suitable":[12],"for":[13],"hardware":[14],"implementation.":[15],"IDEA":[16,69,108],"comprises":[17],"of":[18,29,84,102,106],"modulo":[19,26,34,53,75,96,128],"216":[20],"additions,":[21],"bitwise":[22],"exclusive-OR":[23],"operations":[24],"216+1":[27,35],"multiplications":[28],"16-bit":[30],"words.":[31],"Among":[32],"them,":[33],"multiplication":[36,57,77],"the":[38,66,73,93,107,113,117,123],"most":[39],"time,":[40],"space":[41],"power":[43,82,120],"consuming":[44],"operation.":[45],"In":[46],"this":[47],"work,":[48],"we":[49],"propose":[50],"an":[51],"efficient":[52],"2n+1":[54,76,97,129],"modified":[55],"Booth":[56],"algorithm":[58,78],"which":[59],"adapted":[61],"to":[62,86,92],"operands":[63],"used":[64],"in":[65],"IDEA.":[67],"The":[68,100],"multiplier":[70,98,115],"based":[71,111,125],"on":[72,112,126],"proposed":[74,95,114],"yields":[79],"area":[80,118],"advantages":[83,121],"up":[85],"12%":[87],"14%":[89],"respectively,":[90],"compared":[91],"already":[94],"designs.":[99],"implementation":[101],"single":[104],"round":[105],"block":[109],"cipher":[110],"verifies":[116],"over":[122],"implementations":[124],"existing":[127],"multipliers.":[130]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
