{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,1]],"date-time":"2025-06-01T08:10:08Z","timestamp":1748765408423,"version":"3.41.0"},"publisher-location":"Cham","reference-count":14,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319295039"},{"type":"electronic","value":"9783319295046"}],"license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016]]},"DOI":"10.1007\/978-3-319-29504-6_15","type":"book-chapter","created":{"date-parts":[[2016,1,28]],"date-time":"2016-01-28T10:06:30Z","timestamp":1453975590000},"page":"147-154","source":"Crossref","is-referenced-by-count":2,"title":["The EC Sequences on Points of an Elliptic Curve Realization Using Neural Networks"],"prefix":"10.1007","author":[{"given":"Nikolay Ivanovich","family":"Chervyakov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mikhail Grigorevich","family":"Babenko","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Maxim Anatolievich","family":"Deryabin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nikolay Nikolaevich","family":"Kucherov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nataliya Nikolaevna","family":"Kuchukova","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,1,29]]},"reference":[{"key":"15_CR1","unstructured":"Knuth, D.: The Art of Computer Programming, vol. 2. Seminumerical Algorithms. Oscow, Publishing House Williams, p. 832 (2001)"},{"issue":"6","key":"15_CR2","doi-asserted-by":"publisher","first-page":"836","DOI":"10.1134\/S0001434607110284","volume":"82","author":"VE Tarakanov","year":"2007","unstructured":"Tarakanov, V.E.: Some remarks on arithmetic properties of the recursion sequences on elliptic curves over a terminating field. Math. Notes 82(6), 836\u2013842 (2007)","journal-title":"Math. Notes"},{"key":"15_CR3","unstructured":"Bolotov, A.A., Gashkov, S.B., Frolov, A.B., Chasovskikh, A.A.: Algorithmic Bases of Elliptic Cryptography. RGSU Publishing House, Moscow, p. 499 (2004)"},{"key":"15_CR4","unstructured":"Chervyakov, N.I., Galushkin, A.I., Evdokimov, I.A., Lavrinenko, I.N., Lavrinenko, A.V.: Application of Simulated Neuronic Networks and System of Residual Classes in Cryptography. FIZMATLIT, Moscow, p. 280 (2012)"},{"key":"15_CR5","unstructured":"Patterson, D.W.: Artificial Neural Networks. Theory and Applications. Prentice Hall (1996)"},{"key":"15_CR6","unstructured":"Galushkin, A.I: The Theory of Neural Networks. INGNR, Moscow, p. 416 (2000)"},{"key":"15_CR7","unstructured":"Chervyakov, N.I., Sakhnyuk, P.A., Shaposhnikov, V.A., Makokha, A.N.: Neurocomputers in Residual Classes. Radiotechnique, Moscow, p. 272 (2003)"},{"key":"15_CR8","unstructured":"Zhang, C.N., Yun, D.Y.: Parallel designs for Chinese remainder conversion. In: IEEE 16-th International Conference on Parallel Processing\u2014ICPP, pp. 557\u2013559 (1987)"},{"issue":"8","key":"15_CR9","doi-asserted-by":"publisher","first-page":"1048","DOI":"10.1109\/31.56084","volume":"37","author":"D Zang","year":"1990","unstructured":"Zang, D., Jullien, G.A., Miller, W.C.: A neural-like approach to finite ring computation. IEEE Trans. Circuits Syst. 37(8), 1048\u20131052 (1990)","journal-title":"IEEE Trans. Circuits Syst."},{"key":"15_CR10","unstructured":"Chervyakov, N.I.: The conveyor neural network of a finite ring. Patent RU 2317584 from (2008)"},{"key":"15_CR11","unstructured":"Zhang, D.: Parallel VLSI Neural System Designs. Springer, Berlin, Germany, p. 257 (1998)"},{"key":"15_CR12","doi-asserted-by":"crossref","unstructured":"Zhang, D., Jullien, G.A., Miller, W.C.: VLSI implementations of neural-like networks for finite ring computations. In: Proceedings of the 32nd Midwest Symposium on Circuits and Systems, vol. 1, pp. 485\u2013488 (1989)","DOI":"10.1109\/MWSCAS.1989.101897"},{"key":"15_CR13","unstructured":"Chervyakov, N.I., Galkina, V.A., Strekalov, U.A., Lavrinenko, S.V.: Neural network of a finite ring. Patent RU 2279132 from (2003)"},{"key":"15_CR14","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/978-3-319-20469-7_1","volume-title":"Advances in Swarm and Computational Intelligence","author":"Nikolay Ivanovich Chervyakov","year":"2015","unstructured":"Chervyakov, N.I., Babenko, M.G., Kucherov, N.N., Garianina, A.I.: The Effective Neural Network Implementation of the Secret Sharing Scheme with the Use of Matrix Projections on FPGA. Advances in Swarm and Computational Intelligence, LNCS, vol. 9142, pp. 3\u201310 (2015)"}],"container-title":["Advances in Intelligent Systems and Computing","Proceedings of the Second International Afro-European Conference for Industrial Advancement AECIA 2015"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-29504-6_15","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,1]],"date-time":"2025-06-01T07:35:36Z","timestamp":1748763336000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-29504-6_15"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"ISBN":["9783319295039","9783319295046"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-29504-6_15","relation":{},"ISSN":["2194-5357","2194-5365"],"issn-type":[{"type":"print","value":"2194-5357"},{"type":"electronic","value":"2194-5365"}],"subject":[],"published":{"date-parts":[[2016]]}}}