{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T17:04:27Z","timestamp":1742922267768,"version":"3.40.3"},"publisher-location":"Berlin, Heidelberg","reference-count":15,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642284953"},{"type":"electronic","value":"9783642284960"}],"license":[{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"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":[[2012]]},"DOI":"10.1007\/978-3-642-28496-0_24","type":"book-chapter","created":{"date-parts":[[2012,2,19]],"date-time":"2012-02-19T21:17:48Z","timestamp":1329686268000},"page":"399-411","source":"Crossref","is-referenced-by-count":0,"title":["Sublinear Scalar Multiplication on Hyperelliptic Koblitz Curves"],"prefix":"10.1007","author":[{"given":"Hugo","family":"Labrande","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"suffix":"Jr.","given":"Michael J.","family":"Jacobson","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"24_CR1","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"130","DOI":"10.1007\/11935230_9","volume-title":"Advances in Cryptology \u2013 ASIACRYPT 2006","author":"R. Avanzi","year":"2006","unstructured":"Avanzi, R., Dimitrov, V., Doche, C., Sica, F.: Extending Scalar Multiplication Using Double Bases. In: Lai, X., Chen, K. (eds.) ASIACRYPT 2006. LNCS, vol.\u00a04284, pp. 130\u2013144. Springer, Heidelberg (2006)"},{"key":"24_CR2","doi-asserted-by":"crossref","unstructured":"Cohen, H., Frey, G., Avanzi, R., Doche, C., Lange, T., Nguyen, K., Vercauteren, F. (eds.): Handbook of elliptic and hyperelliptic curve cryptography. Discrete Mathematics and its Applications (Boca Raton). Chapman & Hall\/CRC, Boca Raton (2006); MR2162716 (2007f:14020)","DOI":"10.1201\/9781420034981"},{"issue":"3","key":"24_CR3","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1016\/S0020-0190(98)00044-1","volume":"66","author":"V.S. Dimitrov","year":"1998","unstructured":"Dimitrov, V.S., Jullien, G.A., Miller, W.C.: An algorithm for modular exponentiation. Inform. Process. Lett.\u00a066(3), 155\u2013159 (1998); MR 1627991 (99d:94023)","journal-title":"Inform. Process. Lett."},{"key":"24_CR4","doi-asserted-by":"crossref","unstructured":"Dimitrov, V.S., Imbert, L., Zakaluzny, A.: Multiplication by a constant is sublinear. In: IEEE Symposium on Computer Arithmetic 2007, pp. 261\u2013268 (2007)","DOI":"10.1109\/ARITH.2007.24"},{"issue":"11","key":"24_CR5","doi-asserted-by":"publisher","first-page":"1469","DOI":"10.1109\/TC.2008.65","volume":"57","author":"V.S. Dimitrov","year":"2008","unstructured":"Dimitrov, V.S., J\u00e4rvinen, K.U., Jacobson Jr., M.J., Chan, W.F., Huang, Z.: Provably sublinear point multiplication on Koblitz curves and its hardware implementation. IEEE Trans. Comput.\u00a057(11), 1469\u20131481 (2008); MR2464687 (2009j:68053)","journal-title":"IEEE Trans. Comput."},{"key":"24_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"502","DOI":"10.1007\/978-3-642-01001-9_29","volume-title":"Advances in Cryptology - EUROCRYPT 2009","author":"C. Doche","year":"2009","unstructured":"Doche, C., Kohel, D.R., Sica, F.: Double-Base Number System for Multi-scalar Multiplications. In: Joux, A. (ed.) EUROCRYPT 2009. LNCS, vol.\u00a05479, pp. 502\u2013517. Springer, Heidelberg (2009)"},{"issue":"238","key":"24_CR7","doi-asserted-by":"publisher","first-page":"729","DOI":"10.1090\/S0025-5718-01-01363-1","volume":"71","author":"A. Enge","year":"2002","unstructured":"Enge, A.: Computing discrete logarithms in high-genus hyperelliptic Jacobians in provably subexponential time. Math. Comp.\u00a071(238), 729\u2013742 (2002); (electronic). MR 1885624 (2003b:68083)","journal-title":"Math. Comp."},{"key":"24_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"106","DOI":"10.1007\/3-540-44983-3_8","volume-title":"Selected Areas in Cryptography","author":"C. G\u00fcnther","year":"2001","unstructured":"G\u00fcnther, C., Lange, T., Stein, A.: Speeding up the Arithmetic on Koblitz Curves of Genus Two. In: Stinson, D.R., Tavares, S. (eds.) SAC 2000. LNCS, vol.\u00a02012, pp. 106\u2013117. Springer, Heidelberg (2001); MR 1895585 (2003c:94024)"},{"issue":"177","key":"24_CR9","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1090\/S0025-5718-1987-0866109-5","volume":"48","author":"N. Koblitz","year":"1987","unstructured":"Koblitz, N.: Elliptic curve cryptosystems. Math. Comp.\u00a048(177), 203\u2013209 (1987); MR 866109 (88b:94017)","journal-title":"Math. Comp."},{"key":"24_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1007\/3-540-46766-1_22","volume-title":"Advances in Cryptology - CRYPTO \u201991","author":"N. Koblitz","year":"1992","unstructured":"Koblitz, N.: CM-Curves with Good Cryptographic Properties. In: Feigenbaum, J. (ed.) CRYPTO 1991. LNCS, vol.\u00a0576, pp. 279\u2013287. Springer, Heidelberg (1992)"},{"key":"24_CR11","unstructured":"Lange, T.: Efficient arithmetic on hyperelliptic curves, Ph.D. thesis, Universit\u00e4t-Gesamthochschule Essen, Essen, Germany (2001)"},{"key":"24_CR12","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1007\/3-540-39799-X_31","volume-title":"Advances in Cryptology","author":"V.S. Miller","year":"1986","unstructured":"Miller, V.S.: Use of Elliptic Curves in Cryptography. In: Williams, H.C. (ed.) CRYPTO 1985. LNCS, vol.\u00a0218, pp. 417\u2013426. Springer, Heidelberg (1986)"},{"issue":"2-3","key":"24_CR13","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1023\/A:1008306223194","volume":"19","author":"J.A. Solinas","year":"2000","unstructured":"Solinas, J.A.: Efficient arithmetic on Koblitz curves. Des. Codes Cryptogr.\u00a019(2-3), 195\u2013249 (2000)","journal-title":"Des. Codes Cryptogr."},{"key":"24_CR14","first-page":"159","volume":"28","author":"R. Tijdeman","year":"1974","unstructured":"Tijdeman, R.: On the maximal distance between integers composed of small primes. Compositio. Math.\u00a028, 159\u2013162 (1974); MR 0345917 (49 #10646)","journal-title":"Compositio. Math."},{"key":"24_CR15","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"369","DOI":"10.1007\/3-540-45708-9_24","volume-title":"Advances in Cryptology - CRYPTO 2002","author":"F. Vercauteren","year":"2002","unstructured":"Vercauteren, F.: Computing Zeta Functions of Hyperelliptic Curves Over Finite Fields of Characteristic 2. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol.\u00a02442, pp. 369\u2013384. Springer, Heidelberg (2002)"}],"container-title":["Lecture Notes in Computer Science","Selected Areas in Cryptography"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-28496-0_24","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,29]],"date-time":"2020-01-29T12:24:10Z","timestamp":1580300650000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-28496-0_24"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"ISBN":["9783642284953","9783642284960"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-28496-0_24","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2012]]}}}