{"id":"https://openalex.org/W1946321474","doi":"https://doi.org/10.1007/978-3-642-02181-7_13","title":"A Non-abelian Group Based on Block Upper Triangular Matrices with Cryptographic Applications","display_name":"A Non-abelian Group Based on Block Upper Triangular Matrices with Cryptographic Applications","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1946321474","doi":"https://doi.org/10.1007/978-3-642-02181-7_13","mag":"1946321474"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-02181-7_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-02181-7_13","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/A5061454674","display_name":"Rafael \u00c1lvarez","orcid":"https://orcid.org/0000-0002-8254-6255"},"institutions":[{"id":"https://openalex.org/I130194489","display_name":"University of Alicante","ror":"https://ror.org/05t8bcz72","country_code":"ES","type":"education","lineage":["https://openalex.org/I130194489"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Rafael \u00c1lvarez","raw_affiliation_strings":["Departamento de Ciencia de la Computaci\u00f3n e Inteligencia Artificial, Universidad de Alicante, Campus de San Vicente, Ap. Correos 99, E\u201303080, Alicante, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Ciencia de la Computaci\u00f3n e Inteligencia Artificial, Universidad de Alicante, Campus de San Vicente, Ap. Correos 99, E\u201303080, Alicante, Spain","institution_ids":["https://openalex.org/I130194489"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047500152","display_name":"Leandro Tortosa","orcid":"https://orcid.org/0000-0002-2562-8123"},"institutions":[{"id":"https://openalex.org/I130194489","display_name":"University of Alicante","ror":"https://ror.org/05t8bcz72","country_code":"ES","type":"education","lineage":["https://openalex.org/I130194489"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Leandro Tortosa","raw_affiliation_strings":["Departamento de Ciencia de la Computaci\u00f3n e Inteligencia Artificial, Universidad de Alicante, Campus de San Vicente, Ap. Correos 99, E\u201303080, Alicante, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Ciencia de la Computaci\u00f3n e Inteligencia Artificial, Universidad de Alicante, Campus de San Vicente, Ap. Correos 99, E\u201303080, Alicante, Spain","institution_ids":["https://openalex.org/I130194489"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011732149","display_name":"Jos\u00e9 F. Vicent","orcid":"https://orcid.org/0000-0002-2990-1879"},"institutions":[{"id":"https://openalex.org/I130194489","display_name":"University of Alicante","ror":"https://ror.org/05t8bcz72","country_code":"ES","type":"education","lineage":["https://openalex.org/I130194489"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 Vicent","raw_affiliation_strings":["Departamento de Ciencia de la Computaci\u00f3n e Inteligencia Artificial, Universidad de Alicante, Campus de San Vicente, Ap. Correos 99, E\u201303080, Alicante, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Ciencia de la Computaci\u00f3n e Inteligencia Artificial, Universidad de Alicante, Campus de San Vicente, Ap. Correos 99, E\u201303080, Alicante, Spain","institution_ids":["https://openalex.org/I130194489"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017139426","display_name":"Antonio Zamora","orcid":"https://orcid.org/0000-0003-0401-6440"},"institutions":[{"id":"https://openalex.org/I130194489","display_name":"University of Alicante","ror":"https://ror.org/05t8bcz72","country_code":"ES","type":"education","lineage":["https://openalex.org/I130194489"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Antonio Zamora","raw_affiliation_strings":["Departamento de Ciencia de la Computaci\u00f3n e Inteligencia Artificial, Universidad de Alicante, Campus de San Vicente, Ap. Correos 99, E\u201303080, Alicante, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Ciencia de la Computaci\u00f3n e Inteligencia Artificial, Universidad de Alicante, Campus de San Vicente, Ap. Correos 99, E\u201303080, Alicante, Spain","institution_ids":["https://openalex.org/I130194489"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I130194489"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.7325,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.93318809,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"117","last_page":"126"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9990000128746033,"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":0.996999979019165,"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/discrete-logarithm","display_name":"Discrete logarithm","score":0.813071072101593},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.668636679649353},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5688181519508362},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5396101474761963},{"id":"https://openalex.org/keywords/exponentiation","display_name":"Exponentiation","score":0.5369399189949036},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5219968557357788},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4785912036895752},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.4194737672805786},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3797154724597931},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3678114414215088},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3338683545589447},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2987222671508789},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.2887304723262787},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.23399171233177185},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.1213313639163971},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.08462423086166382}],"concepts":[{"id":"https://openalex.org/C173259116","wikidata":"https://www.wikidata.org/wiki/Q864003","display_name":"Discrete logarithm","level":4,"score":0.813071072101593},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.668636679649353},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5688181519508362},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5396101474761963},{"id":"https://openalex.org/C81539297","wikidata":"https://www.wikidata.org/wiki/Q33456","display_name":"Exponentiation","level":2,"score":0.5369399189949036},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5219968557357788},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4785912036895752},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.4194737672805786},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3797154724597931},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3678114414215088},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3338683545589447},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2987222671508789},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.2887304723262787},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.23399171233177185},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.1213313639163971},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.08462423086166382},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-02181-7_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-02181-7_13","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":25,"referenced_works":["https://openalex.org/W72158803","https://openalex.org/W158745121","https://openalex.org/W962054662","https://openalex.org/W1489218628","https://openalex.org/W1498993177","https://openalex.org/W1508193711","https://openalex.org/W1510717485","https://openalex.org/W1569612250","https://openalex.org/W1660562555","https://openalex.org/W1969341770","https://openalex.org/W1976904648","https://openalex.org/W1981455414","https://openalex.org/W2043710704","https://openalex.org/W2056371549","https://openalex.org/W2067955801","https://openalex.org/W2083993250","https://openalex.org/W2099317248","https://openalex.org/W2101323288","https://openalex.org/W2156186849","https://openalex.org/W2203317094","https://openalex.org/W2480510614","https://openalex.org/W2499339068","https://openalex.org/W3126588943","https://openalex.org/W4243292269","https://openalex.org/W4289126832"],"related_works":["https://openalex.org/W2480228229","https://openalex.org/W4312270235","https://openalex.org/W1578799753","https://openalex.org/W2560039225","https://openalex.org/W4364860044","https://openalex.org/W1910399025","https://openalex.org/W2776394487","https://openalex.org/W169754172","https://openalex.org/W2951293591","https://openalex.org/W1162962063"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
