CHAOSENCRYPT is an innovative cryptographic framework that blends deterministic chaos with modern cryptography, designed primarily for research rather than production use. It utilizes a prime-driven keystream cipher combined with HMAC-based key exchange and dynamic chaotic iteration to explore concepts of semantic structures and emergent entropy.

Key Features:

• Prime-based Chaotic Generator: Generates strong pseudo-random sequences through the formula xₙ₊₁ = (prime * xₙ) mod 1, typically using primes like 9973 for increased complexity.
• Dynamic Step Count (k): A variable iteration count enhances the security of the encryption process by adding an additional layer of obfuscation.
• XOR Keystream: Ensures data integrity by protecting against direct correlations between plaintext and ciphertext.
• Orbit Break Key Exchange: A covert method for securely sharing the secret step count, minimizing explicit key transmission.
• MAC-Based Integrity Checks: Utilizes HMAC to ensure tamper detection, providing a reliable message authentication code.
• Semantic Clustering Preservation: An emergent property that maintains certain semantic relationships in the ciphertext, opening new avenues for research.

Experimental Validation:

CHAOSENCRYPT has undergone rigorous testing:

• Notably, it passes 14 out of 15 tests from the NIST SP800-22 random number generator suite, confirming its ability to produce high-quality randomness.
• Demonstrates cycle lengths exceeding 10 million steps, significantly reducing the risk of repetition and enhancing security.
• Explores properties like Chaotic Structural Echo (CSE) and documents the preservation of semantic relationships under varied configurations while demonstrating effective obfuscation.

Command-Line Interface (CLI):

A comprehensive CLI allows users to perform encryption and decryption with ease. The following command encodes a message:

./chaosencrypt_cli.py encrypt --secret "your-secret" "Hello, World!"

Security Considerations:

It is crucial to note that CHAOSENCRYPT is experimental and not NIST-approved, though it employs strong security practices. Proper key and seed management is essential to maintain security integrity.