A Construction Method of an Isomorphic Map between Quadratic Extension Fields Applicable for SIDH-Reference-Cited by-同舟云学术

A Construction Method of an Isomorphic Map between Quadratic Extension Fields Applicable for SIDH

Published:2020-12-01 Issue:12 Volume:E103.A Page:1403-1406
ISSN:0916-8508
Container-title:IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
language:en
Short-container-title:IEICE Trans. Fundamentals

Author:

NANJO Yuki¹,SHIRASE Masaaki²,KUSAKA Takuya¹,NOGAMI Yasuyuki¹

Affiliation:

1. Okayama University

2. Future University Hakodate

Publisher

Institute of Electronics, Information and Communications Engineers (IEICE)

Subject

Applied Mathematics,Electrical and Electronic Engineering,Computer Graphics and Computer-Aided Design,Signal Processing

Link

https://www.jstage.jst.go.jp/article/transfun/E103.A/12/E103.A_2020TAL0002/_pdf

Reference10 articles.

1. [1] D. Jao and L. De Feo, “Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies,” International Workshop on Post-Quantum Cryptography, pp.19-34, Springer, 2011. 10.1007/978-3-642-25405-5_2

2. [2] R.A. David Jao, M. Campagna, C. Costello, L.D. Feo, B. Hess, A. Jalali, B. Koziel, B. LaMacchia, P. Longa, M. Naehrig, J. Renes, V. Soukharev, and D. Urbanik, “Supersinglar isogeny key encapsulation.” Round 1 submission, NIST Post-Quantum Cryptography Standardization, 2017. https://sike.org

3. [3] C. Costello, P. Longa, and M. Naehrig, “Efficient algorithms for supersingular isogeny diffie-hellman,” Annual International Cryptology Conference, pp.572-601, Springer, 2016. 10.1007/978-3-662-53018-4_21

4. [4] M. Campagna, C. Costello, B. Hess, A. Jalali, B. Koziel, B. LaMacchia, P. Longa, M. Naehrig, J. Renes, D. Urbanik, et al., “Supersingular isogeny key encapsulation,” 2019. https://sike.org/files/SIDH-spec.pdf

5. [5] Y. Nanjo, M. Shirase, T. Kusaka, and Y. Nogami, “A performance analysis and evaluation of SIDH with implementation-friendly classes of quadratic extension fields,” 2019 Seventh International Symposium on Computing and Networking (CANDAR), pp.178-184, IEEE, 2019. 10.1109/candar.2019.00030