YiJing Hash: A Cryptographic Hash Function with Physical Basis Derived from the Twenty-Four Mountain, Ba-Gua Trigram Systems, and Lo-Shu Magic Square

Puntos clave

• This research presents a novel 256-bit cryptographic hash function inspired by classical Chinese cosmological systems.
• Developed using Prior Heaven Ba-Gua and methods from classical algebra.
• Proven theorems relating to its security properties.
• Analyzed using statistical measures including avalanche effect and collision rates.
• Achieved an avalanche effect of 50.6% and zero collisions over 50,000 tests.
• Demonstrated classical security of 2^128 bits and quantum security of 2^85 bits.
• Validated output symbols match the Twenty-Four Mountain framework.