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Abstract

In this presentation, we will provide a brief overview of both classical cryptography and current post-quantum cryptography. Our main focus will be on introducing a new public key encapsulation algorithm that enhances security by incorporating an additional layer of encryption through a hidden ring. This encryption utilizes modular multiplication over the hidden ring using a partial homomorphism operator that is closed under addition and scalar multiplication. Importantly, this proposed algorithm does not alter the underlying logic of the multivariate polynomial public key schemes that it seeks to secure.

The homomorphic encryption key consists of two values: one for creating the hidden ring and another for forming an encryption operator for modular multiplication encryption. The proposed algorithm employs a single polynomial vector for the plaintext and a encapsulation vector of multiple variables, rather than a single multivariate vector created by segmenting the secret plaintext over a small finite field as in MPKC.

Bio

Randy is a quantum physicist with a doctorate and an impressive research track record. His work on calculating electron capture cross-sections has been recognized by NASA and named after him. In addition to his academic pursuits, Randy has a successful career in information technology, including serving as a senior network researcher and developer at Nortel. He co-founded inBay Technologies and served as the CTO of their cybersecurity platform. Randy's most recent venture is co-founding Quantropi Inc., where he serves as Chief Scientist for the development of Quantum Cryptography. Randy is a prolific inventor, holding 40 U.S. patents across a range of technology fields. He is the first recipient of a patent for two-level authentication, which led to the widely-used Fast Identity Online standard. Randy's most recent contributions to the field include his invention of Quantum Encryption with Quantum Permutation Matrices/Pad (QPP), Quantum Public Key Distribution with randomized Glauber states, and Multivariate Polynomial Public Key (MPPK) for digital signature. He has also co-invented Homomorphic Polynomial Public Key for Key Encapsulation Mechanism. Randy is a respected figure in the technology and academic communities, with an impressive and diverse portfolio of accomplishments.

Host

Saurabh Bagchi, sbagchi@purdue.edu