The 'minimum standard' LCG from Park & Miller (1988 CACM) --- a=16807, m=2³¹-1. Widely adopted as a baseline, but exhibits lattice structure in dimensions ≥6
Standard analysis sees: rich, high-entropy values; aperiodic / broadband; high-complexity (noise-like); high-dimensional / space-filling. The atlas finds no named structure, but the source is distinctively extreme on Zipf–Mandelbrot (8-bit):zipf_r_squared (-2.8z) — beyond what the standard bank predicts for it. It sits beside Wichmann-Hill in the atlas (standard-bank rank 21) — a neighbor conventional features miss.
Zipf–Mandelbrot (8-bit):zipf_r_squared | -2.8z | bank-miss 1.6σ |
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| Nearest neighbor | Distance | |
|---|---|---|
| ChaCha20 | 1.68 | |
| Wichmann-Hill | 1.71 | |
| Euler-Mascheroni γ Digits | 1.75 | cross-origin |
Inflation (Substitution) › Inflation (Substitution):entropy_rate | rank 5/306 | 1.0000 |
Inflation (Substitution) › Inflation (Substitution):complexity_subexponential | rank 304/306 | 0.6382 |
Predictability › Predictability:cond_entropy_k8 | rank 1/306 | 2.9998 |