Systems and methods for data encryption, decryption, and authentication

A computer-implemented method for generating a trusted setup on a computing device. The method may include generating a unique single user profile (USUP) based on data derived from the computing device, generating a first binary matrix, executing a matrix mixing operation on the first binary matrix based on the USUP, executing the matrix mixing operation may generate a second binary matrix, generating trust anchor data, wherein the generating the trust anchor data may include selecting a first number and inputting the first number into a remainder generator, the remainder generator may be configured to select a second number, calculate a remainder, wherein the remainder is the remainder of the first number divided by the second number, and output a value pair that includes the second number and the remainder, wherein the trust anchor data is used for encrypting and decrypting data.