{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,26]],"date-time":"2025-09-26T13:07:18Z","timestamp":1758892038262,"version":"3.37.3"},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2016,7,13]],"date-time":"2016-07-13T00:00:00Z","timestamp":1468368000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Cryptogr Eng"],"published-print":{"date-parts":[[2017,9]]},"DOI":"10.1007\/s13389-016-0134-5","type":"journal-article","created":{"date-parts":[[2016,7,13]],"date-time":"2016-07-13T03:24:29Z","timestamp":1468380269000},"page":"245-253","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Efficient regular modular exponentiation using multiplicative half-size splitting"],"prefix":"10.1007","volume":"7","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1222-7662","authenticated-orcid":false,"given":"Christophe","family":"Negre","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thomas","family":"Plantard","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,7,13]]},"reference":[{"key":"134_CR1","doi-asserted-by":"crossref","first-page":"120","DOI":"10.1145\/359340.359342","volume":"21","author":"R Rivest","year":"1978","unstructured":"Rivest, R., Shamir, A., Adleman, L.: A method for obtaining digital signatures and public-key cryptosystems. Commun. ACM 21, 120\u2013126 (1978)","journal-title":"Commun. ACM"},{"key":"134_CR2","doi-asserted-by":"crossref","unstructured":"Kocher, P.C., Jaffe, J., Jun, B.: Differential power analysis. In: Wiener, M.J. (ed.): Advances in Cryptology\u2013CRYPTO \u201999, 19th Annual International Cryptology Conference, Santa Barbara, California, USA, August 15\u201319, 1999, Proceedings, Lecture Notes in Computer Science, vol. 1666, pp. 388\u2013397. Springer, Berlin (1999)","DOI":"10.1007\/3-540-48405-1_25"},{"key":"134_CR3","unstructured":"Mangard, S.: Exploiting Radiated Emissions - EM Attacks on Cryptographic ICs. In: Austrochip 2003, Linz, Austria, October 1st, pp. 13\u201316 (2003)"},{"key":"134_CR4","doi-asserted-by":"crossref","unstructured":"Amiel, F., Feix, B., Tunstall, M., Whelan, C., Marnane, W.: Distinguishing Multiplications from Squaring Operations. In: SAC 2008, ser. LNCS, vol. 5381, pp. 346\u2013360. Springer (2009)","DOI":"10.1007\/978-3-642-04159-4_22"},{"key":"134_CR5","doi-asserted-by":"crossref","unstructured":"Clavier, C., Feix, B., Gagnerot, G., Roussellet, M., Verneuil, V.: Square Always Exponentiation. In: Progress in Cryptology - INDOCRYPT, 2011 ser. LNCS, vol. 7107, pp. 40\u201357. Springer (2011)","DOI":"10.1007\/978-3-642-25578-6_5"},{"key":"134_CR6","doi-asserted-by":"crossref","unstructured":"Coron, J.-S.: Resistance against differential power analysis for elliptic curve cryptosystems. In: Ko\u00e7, \u00c7.K., Paar, C. (eds.): Cryptographic Hardware and Embedded Systems. First InternationalWorkshop, CHES\u201999 Worcester, MA, USA, August 12\u201313, 1999, Proceedings, Lecture Notes in Computer Science, vol. 1717, pp. 292\u2013302. Springer, Berlin (1999)","DOI":"10.1007\/3-540-48059-5_25"},{"key":"134_CR7","doi-asserted-by":"crossref","unstructured":"Joye, M., Yen, S.: The Montgomery Powering Ladder. In: CHES, 20002 ser. LNCS, vol. 2523, pp. 291\u2013302. Springer (2002)","DOI":"10.1007\/3-540-36400-5_22"},{"key":"134_CR8","doi-asserted-by":"crossref","first-page":"519","DOI":"10.1090\/S0025-5718-1985-0777282-X","volume":"44","author":"P Montgomery","year":"1985","unstructured":"Montgomery, P.: Modular multiplication without trial division. Math. Comput. 44, 519\u2013521 (1985)","journal-title":"Math. Comput."},{"key":"134_CR9","doi-asserted-by":"crossref","unstructured":"Negre, C., Plantard, T., Robert, J.: Efficient Modular Exponentiation Based on Multiple Multiplications by a Common Operand. In: 22nd IEEE Symposium on Computer Arithmetic 2015, pp. 144\u2013151 (2015)","DOI":"10.1109\/ARITH.2015.24"},{"key":"134_CR10","doi-asserted-by":"crossref","DOI":"10.1201\/9781439821916","volume-title":"Handbook of Applied Cryptography","author":"A Menezes","year":"1996","unstructured":"Menezes, A., van Oorschot, P., Vanstone, S.: Handbook of Applied Cryptography. CRC Press, Boca Raton (1996)"},{"issue":"9","key":"134_CR11","doi-asserted-by":"crossref","first-page":"967","DOI":"10.1109\/12.869328","volume":"49","author":"S-M Yen","year":"2000","unstructured":"Yen, S.-M., Joye, M.: Checking before output may not be enough against fault-based cryptanalysis. IEEE Trans. Comput. 49(9), 967\u2013970 (2000)","journal-title":"IEEE Trans. Comput."},{"key":"134_CR12","doi-asserted-by":"crossref","unstructured":"Yen, S.-M., Kim, S., Lim, S., Moon, S.-J.: A Countermeasure against One Physical Cryptanalysis May Benefit Another Attack. In: ICISC, 2001 ser. LNCS, vol. 2288, pp. 414\u2013427. Springer (2001)","DOI":"10.1007\/3-540-45861-1_31"},{"key":"134_CR13","doi-asserted-by":"crossref","unstructured":"Joye, M., Tunstall, M.: Exponent Recoding and Regular Exponentiation Algorithms. In: Progress in Cryptology - AFRICACRYPT, 2009 ser. LNCS, vol. 5580, pp. 334\u2013349. Springer (2009)","DOI":"10.1007\/978-3-642-02384-2_21"},{"key":"134_CR14","unstructured":"Bryant, E., Rambhia, A., Atallah, M. and Rice, J.: Software Trusted Platform Module and Application Security Wrapper,\u201d Jan 2011, US Patent 7,870,399. [Online]. https:\/\/www.google.ch\/patents\/US7870399"},{"key":"134_CR15","doi-asserted-by":"crossref","unstructured":"Gallant, R., Lambert, R., Vanstone, S.: Faster Point Multiplication on Elliptic Curves with Efficient Endomorphisms. In: Advances in Cryptology-CRYPTO, 2001 ser. LNCS, vol. 2139, pp. 190\u2013200 Springer (2001)","DOI":"10.1007\/3-540-44647-8_11"},{"key":"134_CR16","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781139856065","volume-title":"Modern Computer Algebra","author":"J von zur Gathen","year":"2013","unstructured":"von zur Gathen, J.: Modern Computer Algebra, 3rd edn. Cambridge University Press, Cambridge (2013)","edition":"3"},{"key":"134_CR17","doi-asserted-by":"crossref","unstructured":"Bosselaers, A., Govaerts, R. and Vandewalle, J.: \u201cComparison of Three Modular Reduction Functions,\u201d in Advances in Cryptology-CRYPTO\u201993, ser. LNCS, vol. 773. Springer, pp. 175\u2013186 (1993)","DOI":"10.1007\/3-540-48329-2_16"},{"key":"134_CR18","unstructured":"Papi, M.: \u201cPerformance Application Programming Interface (PAPI).\u201d [Online]. Available: http:\/\/icl.cs.utk.edu\/papi\/"}],"container-title":["Journal of Cryptographic Engineering"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s13389-016-0134-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13389-016-0134-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13389-016-0134-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13389-016-0134-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,10]],"date-time":"2019-09-10T22:48:15Z","timestamp":1568155695000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s13389-016-0134-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,7,13]]},"references-count":18,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2017,9]]}},"alternative-id":["134"],"URL":"https:\/\/doi.org\/10.1007\/s13389-016-0134-5","relation":{},"ISSN":["2190-8508","2190-8516"],"issn-type":[{"type":"print","value":"2190-8508"},{"type":"electronic","value":"2190-8516"}],"subject":[],"published":{"date-parts":[[2016,7,13]]}}}