Quantum circuits for hyperelliptic curve discrete logarithms over the Mersenne prime fields

Author:

Chen Chao,Guan Peidong,Huang Yan,Zhang Fangguo

Funder

the National Natural Science Foundation of China

the Guangdong Major Project of Basic and Applied Basic Research

the National R &D Key Program of China under Grant

General Project of Hunan Provincial Department of Education

Hunan Provincial Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Modeling and Simulation,Signal Processing,Theoretical Computer Science,Statistical and Nonlinear Physics,Electronic, Optical and Magnetic Materials

Reference27 articles.

1. Adleman, L.M., DeMarrais, J., Huang, M.A.: A subexponential algorithm for discrete logarithms over the rational subgroup of the Jacobians of large genus hyperelliptic curves over finite fields. In: Adleman, L.M., Huang, M.A. (eds.) ANTS 1994, LNCS, vol. 877, pp. 28–40. Springer, Berlin, Heidelberg (1994)

2. Banegas, G., Bernstein, D.J., van Hoof, I., Lange, T.: Concrete quantum cryptanalysis of binary elliptic curves. IACR Trans. Cryptogr. Hardw. Embed. Syst. 2021(1), 451–472 (2021)

3. Bernstein, D.J., Chuengsatiansup, C., Lange, T., Schwabe, P.: Kummer strikes back: new DH speed records. In: Sarkar, P., Iwata, T. (eds.) ASIACRYPT 2014, LNCS, vol. 8873, pp. 317–337. Springer, Berlin, Heidelberg (2014)

4. Bos, J.W., Costello, C., Miele, A.: Elliptic and hyperelliptic curves: a practical security analysis. In: Krawczyk, H. (ed.) PKC 2014, LNCS, vol. 8383, pp. 203–220. Springer, Berlin, Heidelberg (2014)

5. Childs, A.M., van Dam, W.: Quantum algorithms for algebraic problems. Rev. Modern Phys. 82(1), 1–52 (2010)

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