{"id":"https://openalex.org/W1521135752","doi":"https://doi.org/10.1007/978-3-540-24768-5_21","title":"Parallel Montgomery Multiplication and Squaring over GF(2 m ) Based on Cellular Automata","display_name":"Parallel Montgomery Multiplication and Squaring over GF(2 m ) Based on Cellular Automata","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1521135752","doi":"https://doi.org/10.1007/978-3-540-24768-5_21","mag":"1521135752"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-24768-5_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-24768-5_21","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/A5037806431","display_name":"Kyo Min Ku","orcid":null},"institutions":[{"id":"https://openalex.org/I182937616","display_name":"Hyundai Mobis (South Korea)","ror":"https://ror.org/038b1qn73","country_code":"KR","type":"company","lineage":["https://openalex.org/I182937616","https://openalex.org/I197312522"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Kyo Min Ku","raw_affiliation_strings":["Mobilab Co. Ltd, Plus B/D 4F 952-3, Dongcheon-dong, Buk-gu, Daegu, Korea, 702-250"],"affiliations":[{"raw_affiliation_string":"Mobilab Co. Ltd, Plus B/D 4F 952-3, Dongcheon-dong, Buk-gu, Daegu, Korea, 702-250","institution_ids":["https://openalex.org/I182937616"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110260380","display_name":"Kyeoung Ju Ha","orcid":null},"institutions":[{"id":"https://openalex.org/I138826464","display_name":"Daegu Haany University","ror":"https://ror.org/045wr3278","country_code":"KR","type":"education","lineage":["https://openalex.org/I138826464"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Kyeoung Ju Ha","raw_affiliation_strings":["Daegu Haany University, 75 San, JumChon-Dong, Kyungsan, KyungPook, Korea, 712-715"],"affiliations":[{"raw_affiliation_string":"Daegu Haany University, 75 San, JumChon-Dong, Kyungsan, KyungPook, Korea, 712-715","institution_ids":["https://openalex.org/I138826464"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024468584","display_name":"Wi Hyun Yoo","orcid":null},"institutions":[{"id":"https://openalex.org/I2250650973","display_name":"Samsung (South Korea)","ror":"https://ror.org/04w3jy968","country_code":"KR","type":"company","lineage":["https://openalex.org/I2250650973"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Wi Hyun Yoo","raw_affiliation_strings":["Samsung Electronics Co. Ltd, 94-1, Imsoo-Dong, Gumi-City, KyungPook, Korea, 730-350"],"affiliations":[{"raw_affiliation_string":"Samsung Electronics Co. Ltd, 94-1, Imsoo-Dong, Gumi-City, KyungPook, Korea, 730-350","institution_ids":["https://openalex.org/I2250650973"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060514669","display_name":"Kee Young Yoo","orcid":null},"institutions":[{"id":"https://openalex.org/I31419693","display_name":"Kyungpook National University","ror":"https://ror.org/040c17130","country_code":"KR","type":"education","lineage":["https://openalex.org/I31419693"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Kee Young Yoo","raw_affiliation_strings":["Kyungbuk National University, 1370 Sanguk-dong, Buk-gu, Daegu, Korea, 702-701"],"affiliations":[{"raw_affiliation_string":"Kyungbuk National University, 1370 Sanguk-dong, Buk-gu, Daegu, Korea, 702-701","institution_ids":["https://openalex.org/I31419693"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5037806431"],"corresponding_institution_ids":["https://openalex.org/I182937616"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.13652588,"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":"196","last_page":"205"},"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":0.9993000030517578,"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/T10237","display_name":"Cryptography and Data Security","score":0.9922999739646912,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/modular-exponentiation","display_name":"Modular exponentiation","score":0.8833860158920288},{"id":"https://openalex.org/keywords/exponentiation","display_name":"Exponentiation","score":0.7168655395507812},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7074506878852844},{"id":"https://openalex.org/keywords/modular-arithmetic","display_name":"Modular arithmetic","score":0.7025374174118042},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.6002986431121826},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.5241327881813049},{"id":"https://openalex.org/keywords/cellular-automaton","display_name":"Cellular automaton","score":0.49840688705444336},{"id":"https://openalex.org/keywords/galois-theory","display_name":"Galois theory","score":0.4510200023651123},{"id":"https://openalex.org/keywords/elgamal-encryption","display_name":"ElGamal encryption","score":0.4487878978252411},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.4444112479686737},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4380359649658203},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.42543110251426697},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.39740732312202454},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25244614481925964},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21042051911354065},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.18512097001075745},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.16413432359695435},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.06936517357826233},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.059301793575286865}],"concepts":[{"id":"https://openalex.org/C152763109","wikidata":"https://www.wikidata.org/wiki/Q1228841","display_name":"Modular exponentiation","level":4,"score":0.8833860158920288},{"id":"https://openalex.org/C81539297","wikidata":"https://www.wikidata.org/wiki/Q33456","display_name":"Exponentiation","level":2,"score":0.7168655395507812},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7074506878852844},{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.7025374174118042},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.6002986431121826},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.5241327881813049},{"id":"https://openalex.org/C35527583","wikidata":"https://www.wikidata.org/wiki/Q189156","display_name":"Cellular automaton","level":2,"score":0.49840688705444336},{"id":"https://openalex.org/C94398972","wikidata":"https://www.wikidata.org/wiki/Q92552","display_name":"Galois theory","level":2,"score":0.4510200023651123},{"id":"https://openalex.org/C11045955","wikidata":"https://www.wikidata.org/wiki/Q1162410","display_name":"ElGamal encryption","level":4,"score":0.4487878978252411},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.4444112479686737},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4380359649658203},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.42543110251426697},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.39740732312202454},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25244614481925964},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21042051911354065},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.18512097001075745},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.16413432359695435},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.06936517357826233},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.059301793575286865},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-24768-5_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-24768-5_21","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":[{"score":0.47999998927116394,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1541795511","https://openalex.org/W2004814164","https://openalex.org/W2017279115","https://openalex.org/W2025569319","https://openalex.org/W2051495459","https://openalex.org/W2103774873","https://openalex.org/W2108834246","https://openalex.org/W2128718974","https://openalex.org/W2156186849","https://openalex.org/W2168229566","https://openalex.org/W2318946948","https://openalex.org/W2612506596","https://openalex.org/W4230947311"],"related_works":["https://openalex.org/W2292159208","https://openalex.org/W2137988767","https://openalex.org/W2076621334","https://openalex.org/W2107014706","https://openalex.org/W2543318645","https://openalex.org/W1977356083","https://openalex.org/W2351661629","https://openalex.org/W2045682094","https://openalex.org/W3023445585","https://openalex.org/W2004447057"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
