{"id":"https://openalex.org/W2783353176","doi":"https://doi.org/10.1109/icumt.2017.8255191","title":"Lightweight structures of big numbers for cryptographic primitives in limited devices","display_name":"Lightweight structures of big numbers for cryptographic primitives in limited devices","publication_year":2017,"publication_date":"2017-11-01","ids":{"openalex":"https://openalex.org/W2783353176","doi":"https://doi.org/10.1109/icumt.2017.8255191","mag":"2783353176"},"language":"en","primary_location":{"id":"doi:10.1109/icumt.2017.8255191","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icumt.2017.8255191","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 9th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11250/2635475","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035998968","display_name":"Radek Fujdiak","orcid":"https://orcid.org/0000-0002-8319-0633"},"institutions":[{"id":"https://openalex.org/I126527374","display_name":"Peoples' Friendship University of Russia","ror":"https://ror.org/02dn9h927","country_code":"RU","type":"education","lineage":["https://openalex.org/I126527374"]},{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ","RU"],"is_corresponding":true,"raw_author_name":"Radek Fujdiak","raw_affiliation_strings":["Brno University of Technology (BUT University), Brno, Czech Republic","Peoples Friendship University of Russia (RUDN University), Moscow, Russian Federation"],"affiliations":[{"raw_affiliation_string":"Brno University of Technology (BUT University), Brno, Czech Republic","institution_ids":["https://openalex.org/I60587646"]},{"raw_affiliation_string":"Peoples Friendship University of Russia (RUDN University), Moscow, Russian Federation","institution_ids":["https://openalex.org/I126527374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048922968","display_name":"Petr Ml\u00fdnek","orcid":"https://orcid.org/0000-0002-8565-1587"},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]},{"id":"https://openalex.org/I126527374","display_name":"Peoples' Friendship University of Russia","ror":"https://ror.org/02dn9h927","country_code":"RU","type":"education","lineage":["https://openalex.org/I126527374"]}],"countries":["CZ","RU"],"is_corresponding":false,"raw_author_name":"Petr Mlynek","raw_affiliation_strings":["Brno University of Technology (BUT University), Brno, Czech Republic","Peoples Friendship University of Russia (RUDN University), Moscow, Russian Federation"],"affiliations":[{"raw_affiliation_string":"Brno University of Technology (BUT University), Brno, Czech Republic","institution_ids":["https://openalex.org/I60587646"]},{"raw_affiliation_string":"Peoples Friendship University of Russia (RUDN University), Moscow, Russian Federation","institution_ids":["https://openalex.org/I126527374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087480596","display_name":"Sergey Bezzateev","orcid":"https://orcid.org/0000-0002-0924-6221"},"institutions":[{"id":"https://openalex.org/I173089394","display_name":"ITMO University","ror":"https://ror.org/04txgxn49","country_code":"RU","type":"education","lineage":["https://openalex.org/I173089394"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Sergey Bezzateev","raw_affiliation_strings":["ITMO University, Saint Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"ITMO University, Saint Petersburg, Russia","institution_ids":["https://openalex.org/I173089394"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042579984","display_name":"Romina Muka","orcid":"https://orcid.org/0009-0002-6991-4153"},"institutions":[{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Romina Muka","raw_affiliation_strings":["Norwegian University of Science and Technology, Gjovik, Norway"],"affiliations":[{"raw_affiliation_string":"Norwegian University of Science and Technology, Gjovik, Norway","institution_ids":["https://openalex.org/I204778367"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057009746","display_name":"J\u00e1n Sl\u00e1\u010dik","orcid":"https://orcid.org/0000-0002-0754-6773"},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Jan Slacik","raw_affiliation_strings":["Brno University of Technology, Brno, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Brno University of Technology, Brno, Czech Republic","institution_ids":["https://openalex.org/I60587646"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020797561","display_name":"Ji\u0159\u00ed Mi\u0161urec","orcid":"https://orcid.org/0000-0002-5023-7757"},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Jiri Misurec","raw_affiliation_strings":["Brno University of Technology, Brno, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Brno University of Technology, Brno, Czech Republic","institution_ids":["https://openalex.org/I60587646"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078227283","display_name":"Ond\u0159ej R\u00e1\u0161o","orcid":null},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Ondrej Raso","raw_affiliation_strings":["Brno University of Technology, Brno, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Brno University of Technology, Brno, Czech Republic","institution_ids":["https://openalex.org/I60587646"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5035998968"],"corresponding_institution_ids":["https://openalex.org/I126527374","https://openalex.org/I60587646"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.20294039,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"289","last_page":"293"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.9990000128746033,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9983999729156494,"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/cryptographic-primitive","display_name":"Cryptographic primitive","score":0.8215492963790894},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.8068277835845947},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7619580030441284},{"id":"https://openalex.org/keywords/cryptographic-protocol","display_name":"Cryptographic protocol","score":0.5580572485923767},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.44278424978256226},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.2826445996761322}],"concepts":[{"id":"https://openalex.org/C15927051","wikidata":"https://www.wikidata.org/wiki/Q246593","display_name":"Cryptographic primitive","level":4,"score":0.8215492963790894},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.8068277835845947},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7619580030441284},{"id":"https://openalex.org/C33884865","wikidata":"https://www.wikidata.org/wiki/Q1254335","display_name":"Cryptographic protocol","level":3,"score":0.5580572485923767},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.44278424978256226},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.2826445996761322}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icumt.2017.8255191","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icumt.2017.8255191","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 9th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT)","raw_type":"proceedings-article"},{"id":"pmh:oai:ntnuopen.ntnu.no:11250/2635475","is_oa":true,"landing_page_url":"http://hdl.handle.net/11250/2635475","pdf_url":null,"source":{"id":"https://openalex.org/S4306401716","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"289-293","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:ntnuopen.ntnu.no:11250/2635475","is_oa":true,"landing_page_url":"http://hdl.handle.net/11250/2635475","pdf_url":null,"source":{"id":"https://openalex.org/S4306401716","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"289-293","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"display_name":"Partnerships for the goals","score":0.41999998688697815,"id":"https://metadata.un.org/sdg/17"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1529728259","https://openalex.org/W1595295153","https://openalex.org/W2243656125","https://openalex.org/W2548786780","https://openalex.org/W2587515641"],"related_works":["https://openalex.org/W2904818008","https://openalex.org/W2904314268","https://openalex.org/W87530933","https://openalex.org/W4240432851","https://openalex.org/W2289378658","https://openalex.org/W1531360494","https://openalex.org/W1988007309","https://openalex.org/W154233216","https://openalex.org/W2023361932","https://openalex.org/W66756909"],"abstract_inverted_index":{"The":[0],"new":[1],"technological":[2],"approaches":[3],"bring":[4],"us":[5],"into":[6],"the":[7,53,96],"digital":[8],"era,":[9],"where":[10],"data":[11],"security":[12,29],"is":[13],"a":[14,49],"part":[15],"of":[16,55],"our":[17,71],"everyday":[18],"lives.":[19],"Nowadays":[20],"cryptographic":[21,64,78],"algorithms,":[22],"which":[23,58],"are":[24,31,39],"also":[25],"recommended":[26,63],"by":[27],"international":[28],"standards,":[30],"often":[32],"developed":[33],"for":[34,42,52,77],"non-limited":[35,82],"devices":[36],"and":[37,74,93],"they":[38],"not":[40,87],"suitable":[41],"limited":[43,67],"environments.":[44],"This":[45],"paper":[46],"deals":[47],"with":[48,61],"lightweight":[50,72],"solution":[51],"structure":[54,73],"big":[56],"numbers,":[57],"should":[59],"help":[60],"ordinary":[62],"algorithms":[65],"in":[66],"devices.":[68],"We":[69],"introduce":[70],"elementary":[75],"algebra":[76],"primitives":[79],"based":[80],"on":[81,95],"OpenSSL":[83],"library.":[84],"Last":[85],"but":[86],"least,":[88],"we":[89],"provide":[90],"experimental":[91],"measurements":[92],"verification":[94],"real":[97],"scenarios.":[98]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}