Key Words: Cayley hash function, cryptography
As a Cryptographic hash function, this invention can primarily be used to verify data integrity (e.g., in blockchains), authenticate messages, and secure passwords by hashing them. Key applications thus include digital signatures, password hashing, file integrity checks, blockchain technology, and message authentication codes (MACs). These provide a unique "fingerprint" of data and allow the detection of any modifications made to the original information. They may also be utilized to provide healthcare data security.
This Cayley hash function with “cookies” is a cryptographic hashing protocol that enhances security by using nonabelian groups and the properties of Cayley graphs. This protocol leverages a combination of cookies (random or
semi-random elements) and a structure based on Cayley graphs, focusing on creating a secure hash function that is hard to reverse or tamper with. Using cookies, the protocol introduces an element of randomness that makes precomputation attacks less effective.
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