Algorithm

Pixel

Chaotic

Advanced Encryption Standard

Pure mathematics

CHAOS (operating system)

Discrete mathematics

Galois theory

Computer security

Theoretical computer science

Field (mathematics)

Encryption

Computer science

Multiplication (music)

Computer network

Mathematics

Image (mathematics)

Artificial intelligence

Combinatorics

Computer vision

Arithmetic

Optics and Lasers in Engineering

Based on arithmetic operation over a Galois field and coupled hyper chaotic system, we propose a novel pathological image encryption scheme to ensure the transmission of a pathological image securely in a telemedicine system. First, the external one-time keys are sampled from colored noise prior to encryption, to serve as initial values. Second, the pixels are confused and diffused by polynomial multiplication and addition over a Galois field. Finally, the look-up tables, avalanche effect, and an appropriate number of encryption rounds are used to ensure a balance of speed, complexity, and intensity. Through simulation and security analysis we verified that the proposed scheme is faster and more resistant to common attacks.

Color pathological image encryption algorithm using arithmetic over Galois field and coupled hyper chaotic system