Quantropi Inc.

Maria Perepechaenko

Randy Kuang

A cryptographic method and system. A plurality of ciphers is identified in a message received by a recipient, such message encrypting a digital asset. A private key associated with the recipient is obtained. The private key corresponds to a public key associated with the recipient. The method includes solving for x in the equation: [(f(R'mod S)+′+f(R′mod S))/(h(R′mod S)+′+h(R′mod S))]*h(x)−f(x)=0 mod p, where (i)′,′,′, and′correspond to the ciphers in the received message; (ii) R, Rand S are data elements of the private key; (iii) f(·) is a polynomial function defined by coefficients f, f, . . . fthat are also data elements of the private key; and (iv) h(·) is a polynomial function defined by coefficients h, h, . . . hthat are also data elements of the private key. The value of x is assigned to the digital asset, which is then stored in non-transitory memory or packaged in a message sent over the data network.

Quantum-safe cryptographic method and system

Cryptographic methods and systems for key exchange, digital signature and zero-knowledge proof. In the digital signature scenario, there is provided a method of signing a digital document, comprising: obtaining a private cryptographic key associated with the signer; obtaining a digital asset from the digital document; selecting a base data element; computing a plurality of signature data elements from (i) the digital asset, (ii) the base data element and (iii) the private cryptographic key; and transmitting the digital document and the plurality of signature data elements to a recipient over a data network. Provenance of the digital document is confirmable by the recipient carrying out a predefined computation involving the digital document, the signature data elements, a plurality of noise variables and a public cryptographic key corresponding to the private cryptographic key associated with the signer. In the zero-knowledge proof scenario, the digital asset plays the role of a challenge data element.

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Ottawa, Canada

Maria Perepechaenko