Abstract: A method for generating a practically infinite sequence of pseudo-random numbers that is indistinguishable from a true random source. The method utilizes a discrete set of prime numbers, converting each to a corresponding irrational sequence of numbers, i.e., a MIRP, and arranging said MIRPs into a MIRP Stack that extends into a practically infinite non-repeating MIRP Field, from which an even longer unique sequence of pseudo-random numbers are generated.

Abstract: A cryptographic framework embodies modular methods for securing data, both at rest and in motion, via an extensible encryption method. Key derivation and synchronization methods are defined. Using a small set of initialization values (keys), a multi-dimensional geometric form from which two or more entities (participants) may derive the same discrete set of public and secret keys. Participants can initialize a random number generation method of practically infinite non-repeating length. Furthermore, the random number generator can be used as a One Time Pad synchronized between participants, without ever exchanging said One Time Pad. Furthermore, a method for ciphering and deciphering data including a method for splitting the encrypted data into multiple files or streams and for recombining the original data back.