ChaCha20
algorithmic-bytes · 37 views
algorithmic-byteshigh-entropy
What It Is
Bernstein's ChaCha20 stream cipher (2008) --- cryptographic-strength PRNG, the keystream of TLS 1.3 / QUIC / WireGuard. Detection-ceiling source: the framework should find ChaCha20 keystream geometrically indistinguishable from White Noise --- a stronger null than MT19937 (cryptographic vs statistical PRNG)
Interpretation
Standard analysis sees: rich, high-entropy values; aperiodic / broadband; high-complexity (noise-like); high-dimensional / space-filling. The atlas detects no named structure beyond this. It sits beside Wichmann-Hill in the atlas (standard-bank rank 21) — a neighbor conventional features miss.
What standard analysis sees
tail heaviness0.19
asymmetry0.27
occupancy0.92
short-range corr0.28
long-range memory0.33
spectral colour0.78
periodicity0.13
complexity0.96
time-irreversibility0.61
volatility clustering0.20
multifractality0.18
dimensionality0.95
nonstationarity0.29
What the atlas adds
Nothing beyond the standard reading — this source’s structure is already captured by standard features; the atlas adds no named residual.
Composition
dtypefloat64
range[5.282e-05, 0.9999]
unique values16384 / 16384
mean ± std0.505 ± 0.29
Render Gallery
Native > phase_plotraw
Native > timeseriesraw
Native > triple_latticeraw
Boltzmann > lag_map
Boltzmann > spin_grid
Cayley > default
Chladni > free_plate_nodal
Chladni > plate_bottom
Chladni > plate_top
_(centered)/signed_log_z/ChaCha20.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/ChaCha20.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/ChaCha20.png)
Inflation (Substitution) > barcode
/d_curve/ChaCha20.png)
Inflation (Substitution) > d_curve
Information Theory > default
Julia Set > escape_histogram
Klein Bottle > default
Laplacian > default
Logarithmic Spiral > default
Möbius-S³ > mobius_cylinder
Möbius-S³ > s2_base_map
Ordinal Partition > default
/phi_spectrum/ChaCha20.png)
Penrose (Quasicrystal) > phi_spectrum
Persistent Homology > barcode
Persistent Homology > h1_diagram
Predictability > default
Recurrence Quantification > default
Spectral Analysis > default
Spectral Graph > default
Spirograph > mode_spectrum
Spirograph > phasor_trajectory
Symplectic > flux_grid
Symplectic > phase_space
/default/ChaCha20.png)
Ulam Spiral (Sacks) > default
/default/ChaCha20.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| glibc LCG | 1.58 | |
| BSL Residues | 1.61 | cross-origin |
| Wichmann-Hill | 1.66 |
Which Geometries Light Up
Attractor Reconstruction › Attractor Reconstruction:filling_ratio | rank 3/306 | 0.9829 |
Cantor Set › Cantor Set:jump_entropy | rank 302/306 | 0.0556 |
Catch24 › Catch24:SB_TransitionMatrix_3ac_sumdiagcov | rank 304/306 | 0.0000 |
D4 Triality › D4 Triality:gram_consistency | rank 2/306 | 2.5026 |
Modular Residue › Modular Residue:equidistribution_deviation | rank 306/306 | 0.0016 |
Predictability › Predictability:cond_entropy_k1 | rank 4/306 | 2.9976 |
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