ECC: Do We Need to Count?
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[1] H. W. Lenstra,et al. Factoring integers with elliptic curves , 1987 .
[2] Alfred Menezes,et al. Elliptic curve public key cryptosystems , 1993, The Kluwer international series in engineering and computer science.
[3] Everett W. Howe. On the group orders of elliptic curves over finite fields , 2001, math/0110262.
[4] P Erdős,et al. On the number of positive integers . . . , 1966 .
[5] R. Schoof. Journal de Theorie des Nombres de Bordeaux 7 (1995), 219{254 , 2022 .
[6] Stephen C. Pohlig,et al. An Improved Algorithm for Computing Logarithms over GF(p) and Its Cryptographic Significance , 2022, IEEE Trans. Inf. Theory.
[7] R. Lercier,et al. "Computing isogenies in F_ ," ANTS-II , 1996 .
[8] Reynald Lercier,et al. Computing Isogenies in F2n , 1996, ANTS.
[9] J. Couveignes. Isogeny cycles and the Schoof-Elkies-Atkin algorithm , 1996 .
[10] N. Koblitz. PRIMALITY OF THE NUMBER OF POINTS ON AN ELLIPTIC CURVE OVER A FINITE FIELD , 1988 .
[11] H. Halberstam,et al. On Integers All of Whose Prime Factors are Small , 1970 .
[12] Horst G. Zimmer,et al. Constructing elliptic curves with given group order over large finite fields , 1994, ANTS.
[13] Reynald Lercier,et al. Counting the Number of Points on Elliptic Curves over Finite Fields: Strategies and Performance , 1995, EUROCRYPT.
[14] K. Dickman. On the frequency of numbers containing prime factors of a certain relative magnitude , 1930 .
[15] François Morain,et al. Schoof's algorithm and isogeny cycles , 1994, ANTS.
[16] G. G. Stokes. "J." , 1890, The New Yale Book of Quotations.
[17] R. Schoof. Elliptic Curves Over Finite Fields and the Computation of Square Roots mod p , 1985 .
[18] J. Dixon. Asymptotically fast factorization of integers , 1981 .
[19] R. Zuccherato,et al. Counting Points on Elliptic Curves Over F2m , 1993 .
[20] de Ng Dick Bruijn. On the number of positive integers $\leq x$ and free of prime factors $>y$ , 1951 .
[21] Adi Shamir,et al. A method for obtaining digital signatures and public-key cryptosystems , 1978, CACM.
[22] Martin E. Hellman,et al. An improved algorithm for computing logarithms over GF(p) and its cryptographic significance (Corresp.) , 1978, IEEE Trans. Inf. Theory.
[23] Kenji Koyama,et al. Equivalence of Counting the Number of Points on Elliptic Curve over the Ring Zn and Factoring n , 1998, EUROCRYPT.
[24] Jacques Stern,et al. Security Analysis of a Practical "on the fly" Authentication and Signature Generation , 1998, EUROCRYPT.