Predicting the elliptic curve congruential generator
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory
Link
http://link.springer.com/article/10.1007/s00200-016-0303-x/fulltext.html
Reference17 articles.
1. 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. 37–52. Springer, Berlin (2002)
2. Chen, Z.: Elliptic curve analogue of Legendre sequences. Monatsh. Math. 154(1), 1–10 (2008)
3. Chen, Z., Gomez-Perez, D., Pirsic, G.: On lattice profile of the elliptic curve linear congruential generators. Period. Math. Hungar. 68(1), 1–12 (2014)
4. 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–SETA 2006. Lecture Notes in Computer Science, vol. 4086, pp. 285–294. Springer, Berlin (2006)
5. 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. 257–264. Springer, London (2002)
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