The Cube - Not Just A Pretty Picture
Qrypto Trust’s Cube is not just our logo, its an example of the developer tools we’re creating.
QT’s Dilithium Certificate Visualization Tool renders the 256 polynomial coefficients of a Dilithium certificate into a color-mapped 3-D cube, where each voxel represents one coefficient and its magnitude and sign are encoded visually—deep blue for +4 Million to deep red for –4 Million, and a gradient for intermediate values.
The Dilithium visualization makes it easy to verify structural correctness, detect bias, and confirm randomness properties expected from lattice-based signatures, such as uniform sampling with rejection sampling, constant-time implementation behavior, and absence of statistical anomalies in coefficient distributions.
NIST has emphasized that randomness derivation (e.g., hedged randomness combining system entropy and hashing) and uniform sampling techniques to ensure implementation security and avoid side-channel leakage, which a coefficient heat-map cube can quickly validate during development and certification.