Pattern Avoidance in Cryptography: Theoretical Supports and Questions

Cryptography is the science of encoding and decoding messages in a crypto-or cipher-system. The classic RSA system has been employed for 35 years and continues to offer an efficient solution by using large prime numbers. In this note, we want to consider a simple potential alternative taking the pattern avoidance into account. Some theoretical background that may justify this potential approach is briefly surveyed. We also propose some interesting related questions in this topic.