1. Chaos in Cryptography What is Chaos in Cryptography Chaos Functions
Application in Cryptography
Why it isn’t used

2. What does it mean? Use Chaos Functions Pseudo Random Generation
One-Time Pad

3. Chaos Functions Sensitive to Initial Value Sequence Based on Seed
Non-Computable Generation

4. The Logistic Map Xn+1 = R * Xn (1 – Xn) R = 4 Bifurcation Diagram
Diagram shows accuracy based on initial seed.

5. Application in Cryptography
Seed Unique to Key
Generate One-Time Pad
Symmetric Key System

6. 64 Bit Example Generate Key Convert to Seed Iterate XOR with Data
Symmetrical Operation

7. Why it isn’t used Security Cannot Be Proven Attractors
Computationally Expensive

8. References
Dr. Ranjan Bose and Amitabha Banerjee. “Implementing Symmetric Cryptography Using Chaos Functions”
Wikipedia
M. S. Baptista, “Cryptography with Chaos” Physics Letters A , Vol. 240, Pages 50–54, 1998
Shujun Li, Guanrong Chen, Kwok-Wo Wong, Xuanqin Mou, and Yuanlong Cai. “Baptista-type chaotic cryptosystems:
Problems and countermeasures”