{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,2]],"date-time":"2026-01-02T07:50:10Z","timestamp":1767340210984,"version":"3.40.3"},"publisher-location":"Cham","reference-count":11,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030960568"},{"type":"electronic","value":"9783030960575"}],"license":[{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2022,2,10]],"date-time":"2022-02-10T00:00:00Z","timestamp":1644451200000},"content-version":"vor","delay-in-days":40,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>This article describes a new implementation of MST-based encryption for generalized Suzuki 2-groups. The well-known MST cryptosystem based on Suzuki groups is built on a logarithmic signature at the center of the group, resulting in a large array of logarithmic signatures. An encryption scheme based on multiparameter non-commutative groups is proposed. The multiparameter generalized 2 - Suzuki group was chosen as one of the group constructions. In this case, a logarithmic signature is established for the entire group. The main difference from the known one is the use of homomorphic encryption to construct coverings of logarithmic signatures for all group parameters. This design improves a secrecy of the cryptosystem is ensured at the level of a brute-force attack.<\/jats:p>","DOI":"10.1007\/978-3-030-96057-5_5","type":"book-chapter","created":{"date-parts":[[2022,2,9]],"date-time":"2022-02-09T05:03:05Z","timestamp":1644382985000},"page":"59-76","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Encryption Scheme Based on the Generalized Suzuki 2-groups and Homomorphic Encryption"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2054-9186","authenticated-orcid":false,"given":"Gennady","family":"Khalimov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4997-620X","authenticated-orcid":false,"given":"Yevgen","family":"Kotukh","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5736-5823","authenticated-orcid":false,"given":"Sang-Yoon","family":"Chang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7582-6232","authenticated-orcid":false,"given":"Yaroslav","family":"Balytskyi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1075-9470","authenticated-orcid":false,"given":"Maksym","family":"Kolisnyk","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7224-589X","authenticated-orcid":false,"given":"Svitlana","family":"Khalimova","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0583-3752","authenticated-orcid":false,"given":"Oleksandr","family":"Marukhnenko","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,2,10]]},"reference":[{"key":"5_CR1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1007\/3-540-39568-7_3","volume-title":"Advances in Cryptology","author":"NR Wagner","year":"1985","unstructured":"Wagner, N.R., Magyarik, M.R.: A public-key cryptosystem based on the word problem. In: Blakley, G.R., Chaum, D. (eds.) CRYPTO 1984. LNCS, vol. 196, pp. 19\u201336. Springer, Heidelberg (1985). https:\/\/doi.org\/10.1007\/3-540-39568-7_3"},{"key":"5_CR2","unstructured":"Magliveras, S.S.: A cryptosystem from logarithmic signatures of finite groups. In: Proceedings of the 29th Midwest Symposium on Circuits and Systems, pp. 972\u2013975. Elsevier Publishing, Amsterdam (1986)"},{"key":"5_CR3","doi-asserted-by":"crossref","unstructured":"Lempken, W., Magliveras, S.S., van Trung, T., Wei, W.: A public key cryptosystem based on non-abelian finite groups. J. Cryptol. 22, 62\u201374 (2009)","DOI":"10.1007\/s00145-008-9033-y"},{"key":"5_CR4","first-page":"1","volume":"41","author":"SS Magliveras","year":"2008","unstructured":"Magliveras, S.S., Svaba, P., van Trung, T., et al.: On the security of a realization of cryptosystem MST3. Tatra Mt. Math. Publ. 41, 1\u201313 (2008)","journal-title":"Tatra Mt. Math. Publ."},{"issue":"3","key":"5_CR5","doi-asserted-by":"publisher","first-page":"271","DOI":"10.1515\/jmc.2010.011","volume":"4","author":"P Svaba","year":"2010","unstructured":"Svaba, P., van Trung, T.: Public key cryptosystem MST3 cryptanalysis and realization. J. Math. Cryptol. 4(3), 271\u2013315 (2010)","journal-title":"J. Math. Cryptol."},{"issue":"1","key":"5_CR6","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1515\/jmc-2017-0048","volume":"12","author":"T van Trung","year":"2018","unstructured":"van Trung, T.: Construction of strongly aperiodic logarithmic signatures. J. Math. Cryptol. 12(1), 23\u201335 (2018)","journal-title":"J. Math. Cryptol."},{"key":"5_CR7","doi-asserted-by":"crossref","unstructured":"Khalimov, G., Kotukh, Y., Khalimova, S.: MST3 cryptosystem based on the automorphism group of the Hermitian function field. In: IEEE International Scientific-Practical Conference: Problems of Infocommunications Science and Technology, PIC S and T 2019 - Proceedings, pp. 865\u2013868 (2019)","DOI":"10.1109\/PICST47496.2019.9061290"},{"key":"5_CR8","doi-asserted-by":"crossref","unstructured":"Khalimov, G., Kotukh, Y., Khalimova, S.: MST3 cryptosystem based on a generalized Suzuki 2 \u2013 Groups. CEUR Workshop Proc. 2711, 1\u201315 (2020)","DOI":"10.1109\/ICECCME52200.2021.9590932"},{"key":"5_CR9","doi-asserted-by":"crossref","unstructured":"Khalimov, G., Kotukh, Y., Khalimova, S.: Encryption scheme based on the automorphism group of the Ree function field. In: 2020 7th International Conference on Internet of Things: Systems, Management and Security, IOTSMS 2020,\u00a09340192 (2020)","DOI":"10.1109\/IOTSMS52051.2020.9340192"},{"key":"5_CR10","unstructured":"Hanaki, A.: A condition on lengths of conjugacy classes and character degrees Osaka J. Math. 33, 207\u2013216 (1996)"},{"key":"5_CR11","unstructured":"P. Svaba, \u201cCovers and logarithmic signatures of finite groups in cryptography\u201d, Dissertation, https:\/\/bit.ly\/2Ws2D24"}],"container-title":["Communications in Computer and Information Science","Silicon Valley Cybersecurity Conference"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-96057-5_5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,2,9]],"date-time":"2022-02-09T05:03:58Z","timestamp":1644383038000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-96057-5_5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022]]},"ISBN":["9783030960568","9783030960575"],"references-count":11,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-96057-5_5","relation":{},"ISSN":["1865-0929","1865-0937"],"issn-type":[{"type":"print","value":"1865-0929"},{"type":"electronic","value":"1865-0937"}],"subject":[],"published":{"date-parts":[[2022]]},"assertion":[{"value":"10 February 2022","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"SVCC","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Silicon Valley Cybersecurity Conference","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"San Jose, CA","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"USA","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2021","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2 December 2021","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"3 December 2021","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"svcc2021","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/svcc2021.svcsi.org","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Double-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"15","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"9","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"1","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"60% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"No","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}