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Chaos in Cryptography

Chaos in Cryptography. What is Chaos in Cryptography Chaos Functions Application in Cryptography Why it isn’t used. What does it mean?. Use Chaos Functions Pseudo Random Generation One-Time Pad. Chaos Functions. Sensitive to Initial Value Sequence Based on Seed

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Chaos in Cryptography

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  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 http://en.wikipedia.org/wiki/Logistic_map 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”

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