SHA-256 Output Distribution Analysis: Deterministic Cycles, Basin Topology & 42x Rainbow Chain Speedup via CDP
SHA-256 output distribution is not featureless. CDP projects each 64-hex-digit output to a scalar weight W ∈ [434,555] across 961 classes, revealing a Cycle-1 (476↔438 fixed point), an 8-node Cycle-2, and strongly asymmetric basin topology. The 38.6x scalar pre-filter achieves zero false negatives. Compound triple constraint delivers 42.55x rainbow chain speedup — 16.6x beyond the published literature best of 2.56x. OpenCL implementation included.
