[1] Daniel J. Bernstein and Tanja Lange. SafeCurves: choosing safe curves for elliptic curve cryptography, 2015.
http://safecurves.cr.yp.to (accessed 27 September 2015).
[2] I. Blake, G. Serroussi, N. Smart. Elliptic curves in cryptography. Cambridge University Press, 1999.
[3] H. Cohen. A course in computational number theory. Springer 1983.
[4] H. Cohen, G. Frey. Handbook of Elliptic and Hyperelliptic Curve Cryptography. Chapman and Hall CRC, 1994.
[5] P. Da˛browski, R. Gliwa, J. Szmidt, R. Wicik. Generation and Implementation of Cryptographically Strong Elliptic Curves. Number-Theoretical Methods in Cryptology. First International Conference, NuTMiC 2017. Warsaw, Poland, 11-13, 2017.
Lecture Notes in Computer Sciences, (Eds), Jerzy Kaczorowski, Josef Piprzyk, Jacek Pomykała. Volume 10737, pages 25-36. 2017.
[6] W. Diffie, M. E. Hellman. New Directions in Cryptography. IEEE Trans.
Information Theory, IT 22(6), pp. 644-654, 1976.
[7] Jean-Pierre Flori, Jerome Plut, Jean-Rene Reinhard. Diversity and transparency for ECC.
NIST Workshop on ECC Standards, June 11-12, 2015.
[8] Gerhard Frey, private communication, 2015.
[9] G. Frey, H. Rück. A remark concerning m-divisibility and the discrete logarithm in the divisor class group of curves.
Mathematics of Computations, 62 91994), 865-874.
[10] S. D. Galbraith, P. Gaudry. Recent progress on the elliptic curve discrete logarithm problem.
Cryptology ePrint Archive, 2015/1022.
[11] Steven D. Galbraith and James McKee. The probability that the number of points on an elliptic curve over a finite field is prime.
J. London Math. Soc. (2), 62(3):671–684, 2000.
[12] R. Gliwa, J. Szmidt, R. Wicik Searching for cryptographically secure elliptic curves over prime fields.
Science and Military, 2016, nr 1, volume 11, pages 10-13, ISSN 1336-8885 (print), ISSN 2453-7632 (on-line).
[13] R. Granger, M. Scott. Faster ECC over F2521��1. In: Katz, J. ed., PKC 2015.
LNCS, vol. 9020, pp. 539–553.[14] D. Johnson, A. Menezes. The Elliptic Curve Digital Signature Algorithm (ECDSA). Technical Report CORR 99-34, University of Waterloo, Canada.
http://www.math.uwaterloo.ca [15] Manfred Lochter and Andreas Wiemers. Twist insecurity, 2015. iacr. ePrint Archive 577 (2015).
[16] A. Menezes, T. Okamoto, S. Vanstone. Reducing elliptic curve logarithms to logarithms in a finite field.
IEEE. Transactions on Information Theory, 39 (1993), 1639-1646.
[17] N. Koblitz. Elliptic curve cryptosystems.
Math. Comp., 48(177), pp. 203- 209, 1987.
[18] V. S. Miller. Use of elliptic curves in cryptography. In Advances in Cryptology - CRYPTO’85,
LNCS vol 218, pp. 417-426, 1985.
[19] P. Pohlig, M. Hellman. An improved algorithm for computing logarithms over GF(p) and its cryptographic significance.
IEEE Transaction on Information Theory, 24 (1979), 106-110.
[20] J. Pollard. Monte Carlo methods for index computations mod pn:
Mathematics of Computations, 32 (1978), 918-924.
[21] R. L. Rivest, A. Shamir, L. Adleman. A method for obtaining digital signatures and public-key cryptosystems.
Comm. ACM, 21(2), pp. 120- 126, 1978.
[22] T. Satoh, K. Araki. Fermat quotients and the polynomial time discrete log algorithm for anomalous elliptic curves,
Commentarii Mathematici Universitatis Sancti Pauli, 47 (1998), 81-92.
[23] I. Semaev. Evaluation of discrete logarithms in a group of p-torsion points of an elliptic curve in characteristic p.
Mathematics of Computations, 67 (1998), 353-356.
[24] N. Smart. The discrete logarithm problem on elliptic curves uf trace one.
Journal of Cryptology, 12 (1999), 193-196.
[25] J. H. Silverman. The arithmetic of elliptic curves. Springer 1986.
[26] Elliptic Curve Cryptography (ECC) Brainpool Standard. Curves and Curve Generation, v. 1.0. 2005. Request for Comments: 5639, 2010. 7027, 2013.
http://www.bsi.bund.de [27] Technical and Implementation Guidance on Generation and Application of Elliptic Curves for NATO classified, 2010.
[28] US Department of Commerce. N.I.S.T. 2000. Federal Information Processing Standards Publication 186-2. FIPS 186-2. Digital Signature Standard.
[29] Standards for Efficient Cryptography Group. Recommended elliptic curve domain parameters, 2000.
www.secg.org/collateral/sec2.pdf [30] Mersenne prime. en.wikipedia.org
[31] Magma Computational Algebra System. School of Mathematics and Statistics. University of Sydney.