Goldbach Triples and Key Distribution
This addresses secure communication for cryptography applications, but it appears incremental as it adapts known partition-based methods to a new context.
The paper tackles the problem of cryptographic key distribution by using Goldbach triples (three prime partitions of an odd number) to propose a protocol where two partitions serve as cover to securely transmit a third number as a session key, with the original number used for audit.
This paper investigates the use of the number of Goldbach triples, or the number of three prime partitions of an odd number, for use in the generation and distribution of cryptographic keys. In addition to presenting randomness properties of these triples, which turn out to be similar to that of prime partitions of even numbers, we explore the question of restricted partition sets. We propose a protocol for key distribution that is based on these numbers. Two of the three partitions of the randomly chosen number serve as cover to send the third number to the two parties that wish to communicate with each other. This third number can serve as session key and the original number of which it is a partition can be used for audit purposes.