Multi-stage fully homomorphic encryption and compression system for secure data processing and analysis

Abstract

A multi-stage process for homomorphic end-to-end data compression and encryption is claimed. The first stage analyzes input data, applies transformations to increase compressibility and security, produces conditioned data and error streams, transforms data into a dyadic distribution, creates a transformation matrix, performs Huffman coding, and combines Huffman-encoded data with a secondary transformation stream. A second stage further processes the compressed and encrypted output, either repeating the first stage's steps or using an autoencoder for additional compression. The system supports multiple compression stages, each building on the previous one. Decompression reverses these stages while maintaining homomorphic encryption throughout. This approach enables secure data transmission, storage, and analysis in bandwidth-constrained environments, adapting to various data types and compression levels while preserving data quality and security.