{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,21]],"date-time":"2025-10-21T15:23:11Z","timestamp":1761060191235},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2016,9,3]],"date-time":"2016-09-03T00:00:00Z","timestamp":1472860800000},"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":["AAECC"],"published-print":{"date-parts":[[2017,6]]},"DOI":"10.1007\/s00200-016-0303-x","type":"journal-article","created":{"date-parts":[[2016,9,3]],"date-time":"2016-09-03T10:49:42Z","timestamp":1472899782000},"page":"193-203","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Predicting the elliptic curve congruential generator"],"prefix":"10.1007","volume":"28","author":[{"given":"L\u00e1szl\u00f3","family":"M\u00e9rai","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,9,3]]},"reference":[{"key":"303_CR1","doi-asserted-by":"crossref","unstructured":"Beelen, P.H.T., Doumen, J.M.: Pseudorandom sequences from elliptic curves. In: Mullen, G.L., Stichtenoth, H., Tapia-Recillas, H. (eds.) Finite Fields with Applications to Coding Theory, Cryptography and Related Areas (Oaxaca, 2001), pp. 37\u201352. Springer, Berlin (2002)","DOI":"10.1007\/978-3-642-59435-9_3"},{"issue":"1","key":"303_CR2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s00605-008-0520-x","volume":"154","author":"Z Chen","year":"2008","unstructured":"Chen, Z.: Elliptic curve analogue of Legendre sequences. Monatsh. Math. 154(1), 1\u201310 (2008)","journal-title":"Monatsh. Math."},{"issue":"1","key":"303_CR3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s10998-014-0021-8","volume":"68","author":"Z Chen","year":"2014","unstructured":"Chen, Z., Gomez-Perez, D., Pirsic, G.: On lattice profile of the elliptic curve linear congruential generators. Period. Math. Hungar. 68(1), 1\u201312 (2014)","journal-title":"Period. Math. Hungar."},{"key":"303_CR4","doi-asserted-by":"crossref","unstructured":"Chen, Z., Li, S., Xiao, G.: Construction of pseudo-random binary sequences from elliptic curves by using discrete logarithm. In: Gong, G., Helleseth, T., Song H.-Y., Yang, K. (eds.) Sequences and Their Applications\u2013SETA 2006. Lecture Notes in Computer Science, vol. 4086, pp. 285\u2013294. Springer, Berlin (2006)","DOI":"10.1007\/11863854_24"},{"key":"303_CR5","doi-asserted-by":"crossref","unstructured":"El Mahassni, E., Shparlinski, I.: On the uniformity of distribution of congruential generators over elliptic curves. In: Helleseth, T., Kumar, P.V., Yang, K. (eds.) Sequences and Their Applications (Bergen. 2001), Discrete Mathematics and Theoretical Computer Science (London), pp. 257\u2013264. Springer, London (2002)","DOI":"10.1007\/978-1-4471-0673-9_19"},{"key":"303_CR6","doi-asserted-by":"crossref","unstructured":"Gong, G., Berson, T.A., Stinson, D.R.: Elliptic curve pseudorandom sequence generators. In: Heys, H., Adams, C. (eds.) Selected Areas in Cryptography (Kingston. ON, 1999), Lecture Notes in Computer Science, vol. 1758, pp. 34\u201348. Springer, Berlin (2000)","DOI":"10.1007\/3-540-46513-8_3"},{"issue":"2","key":"303_CR7","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1007\/s10623-007-9112-3","volume":"45","author":"J Gutierrez","year":"2007","unstructured":"Gutierrez, J., Ibeas, \u00c1.: Inferring sequences produced by a linear congruential generator on elliptic curves missing high-order bits. Des. Codes Cryptogr. 45(2), 199\u2013212 (2007)","journal-title":"Des. Codes Cryptogr."},{"issue":"1","key":"303_CR8","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1007\/s10623-003-6153-0","volume":"35","author":"F Hess","year":"2005","unstructured":"Hess, F., Shparlinski, I.E.: On the linear complexity and multidimensional distribution of congruential generators over elliptic curves. Des. Codes Cryptogr. 35(1), 111\u2013117 (2005)","journal-title":"Des. Codes Cryptogr."},{"issue":"7","key":"303_CR9","doi-asserted-by":"crossref","first-page":"2598","DOI":"10.1109\/TIT.2007.899532","volume":"53","author":"H Hu","year":"2007","unstructured":"Hu, H., Hu, L., Feng, D.: On a class of pseudorandom sequences from elliptic curves over finite fields. IEEE Trans. Inform. Theory 53(7), 2598\u20132605 (2007)","journal-title":"IEEE Trans. Inform. Theory"},{"key":"303_CR10","unstructured":"Lenstra Jr., H.W.: Elliptic curves and number-theoretic algorithms. In: Proceedings of the International Congress of Mathematicians, vols. 1, 2 (Berkeley, Calif., 1986), pp. 99\u2013120. American Mathematical Society, Providence (1987)"},{"issue":"1","key":"303_CR11","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1007\/s10623-013-9822-7","volume":"73","author":"H Liu","year":"2014","unstructured":"Liu, H.: A family of elliptic curve pseudorandom binary sequences. Des. Codes Cryptogr. 73(1), 251\u2013265 (2014)","journal-title":"Des. Codes Cryptogr."},{"issue":"2","key":"303_CR12","doi-asserted-by":"crossref","first-page":"135","DOI":"10.4064\/aa140-2-3","volume":"140","author":"H Liu","year":"2009","unstructured":"Liu, H., Zhan, T., Wang, X.: Large families of elliptic curve pseudorandom binary sequences. Acta Arith. 140(2), 135\u2013144 (2009)","journal-title":"Acta Arith."},{"issue":"1\u20132","key":"303_CR13","doi-asserted-by":"crossref","first-page":"199","DOI":"10.5486\/PMD.2012.5057","volume":"80","author":"L M\u00e9rai","year":"2012","unstructured":"M\u00e9rai, L.: Construction of pseudorandom binary sequences over elliptic curves using multiplicative characters. Publ. Math. Debrecen 80(1\u20132), 199\u2013213 (2012)","journal-title":"Publ. Math. Debrecen"},{"issue":"3\u20134","key":"303_CR14","doi-asserted-by":"crossref","first-page":"301","DOI":"10.3233\/FI-2012-630","volume":"114","author":"L M\u00e9rai","year":"2012","unstructured":"M\u00e9rai, L.: Remarks on pseudorandom binary sequences over elliptic curves. Fund. Inform. 114(3\u20134), 301\u2013308 (2012)","journal-title":"Fund. Inform."},{"key":"303_CR15","doi-asserted-by":"crossref","unstructured":"Shparlinski, I.E.: Pseudorandom points on elliptic curves over finite fields. In: Chaumine, J., Hirschfeld, J., Rolland, R. (eds.) Algebraic Geometry and Its Applications, Series Number Theory Application, vol.\u00a05, pp. 116\u2013134. World Scientific Publishing, Hackensack (2008)","DOI":"10.1142\/9789812793430_0006"},{"key":"303_CR16","doi-asserted-by":"crossref","unstructured":"Topuzo\u011flu, A., Winterhof, A.: Pseudorandom sequences. In: Garcia, A., Stichtenoth, H. (eds.) Topics in Geometry, Coding Theory and Cryptography, Algebra Application, vol. 6, pp. 135\u2013166. Springer, Dordrecht (2007)","DOI":"10.1007\/1-4020-5334-4_4"},{"key":"303_CR17","doi-asserted-by":"crossref","unstructured":"Washington, L.C.: Elliptic Curves. Number theory and cryptography. Discrete mathematics and its applications, 2nd edn. Chapman & Hall\/CRC, Boca Raton (2008)","DOI":"10.1201\/9781420071474"}],"container-title":["Applicable Algebra in Engineering, Communication and Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00200-016-0303-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00200-016-0303-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00200-016-0303-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00200-016-0303-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,7]],"date-time":"2022-07-07T18:36:44Z","timestamp":1657219004000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00200-016-0303-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,9,3]]},"references-count":17,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2017,6]]}},"alternative-id":["303"],"URL":"https:\/\/doi.org\/10.1007\/s00200-016-0303-x","relation":{},"ISSN":["0938-1279","1432-0622"],"issn-type":[{"value":"0938-1279","type":"print"},{"value":"1432-0622","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,9,3]]}}}