4 papers
Anamorphic Cryptography using Baby-Step Giant-Step Recovery
William J Buchanan, Jamie Gilchrist
In 2022, Persianom, Phan and Yung outlined the creation of Anamorphic Cryptography. With this, we can create a public key to encrypt data, and then have two secret keys. These secr…
Breaking ECDSA with Two Affinely Related Nonces
Jamie Gilchrist, William J. Buchanan, Keir Finlow-Bates
The security of the Elliptic Curve Digital Signature Algorithm (ECDSA) depends on the uniqueness and secrecy of the nonce, which is used in each signature. While it is well underst…
ECDSA Cracking Methods
William J. Buchanan, Jamie Gilchrist, Keir Finlow-Bates
The ECDSA (Elliptic Curve Digital Signature Algorithm) is used in many blockchain networks for digital signatures. This includes the Bitcoin and the Ethereum blockchains. While it…
Equivalence Classes Induced by Binary Tree Isomorphism -- Generating Functions
David Serena, William J Buchanan
Working with generating functions, the combinatorics of a recurrence relation can be expressed in a way that allows for more efficient calculation of the quantity. This is true of…