Isara Corporation

Anton Mosunov

Kassem Kalach

In a general aspect, a supersingular isogeny-based cryptography process is performed. In some aspects, a first generator point is computed based on a secret integer of a first entity and a pair of elliptic curve points defined by a supersingular isogeny-based cryptosystem. An image curve is computed based on the secret integer, and a shared secret value is computed based on the image curve. An encrypted generator point is computed from the first generator point and the shared secret value. A public key of the first entity is sent to a second entity to enable the second entity to compute the shared secret value. The encrypted generator point is sent to the second entity to enable the second entity to validate the public key of the first entity.

Public key validation in supersingular isogeny-based cryptographic protocols

In a general aspect, a supersingular isogeny-based cryptography process is performed. In some aspects, a secret integer of a first entity is obtained. A public key of a second entity includes a first image curve and a first pair of elliptic curve points. A first pairing value is computed based on a second pair of elliptic curve points defined by a supersingular isogeny-based cryptosystem. A second pairing value is computed based on the first pair of elliptic curve points. Validating the public key includes verifying whether the first pairing value matches the second pairing value. A second image curve is computed based on the secret integer and the first pair of elliptic curve points. A shared secret value, shared by the first entity and the second entity, is computed based on the second image curve.

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Waterloo, Canada

Anton Mosunov