Post-Quantum Cryptography Team SIDH / SIKE

Supersingular Isogeny Key Encapsulation (SIKE)

SIKE and SIDH are insecure and should not be used. For more information, please refer to the SIKE team’s statement to NIST.

Supersingular Isogeny Key Encapsulation (SIKE) is a post-quantum cryptography collaboration between researchers and engineers at Amazon, Florida Atlantic University, Infosec Global, Microsoft Research, Radboud University, Texas Instruments, Université de Versailles, and the University of Waterloo.

SIKE is a family of post-quantum key encapsulation mechanisms based on the Supersingular Isogeny Diffie-Hellman (SIDH) key exchange protocol. The algorithms use arithmetic operations on elliptic curves defined over finite fields and compute maps, so-called isogenies, between such curves. The security of SIDH and SIKE relies on the hardness of finding a specific isogeny between two such elliptic curves, or equivalently, of finding a path between them in the isogeny graph. This problem is different from that of computing discrete logarithms on a single elliptic curve.

The SIDH protocol was first introduced by Jao and De Feo in 2011 and is at the core of a public key encryption scheme which is then used to construct the key encapsulation mechanism SIKE. Further details about the design and performance of SIKE can be accessed in the links below.