09 — KaTeX Sample Math

This page verifies inline math such as $n = 256$, $q = 3329$, and $\lVert \mathbf{s} \rVert_2 < \beta$.

Block Equation

$$\mathbf{b} = \mathbf{A}\mathbf{s} + \mathbf{e} \pmod q$$

Matrix Example

$$\mathbf{A} = \begin{pmatrix} 1 & 0 & 2 \\ 0 & 1 & 3 \\ 4 & 5 & 6 \end{pmatrix}$$

Kyber-Style Lattice Equation

$$(\mathbf{t}, \mathbf{u}) = \left( \mathbf{A}\mathbf{s} + \mathbf{e}, \mathbf{A}^\top \mathbf{r} + \mathbf{e}_1 \right) \in R_q^{k \times k} \times R_q^k$$

Mixed Narrative

Kyber-style constructions rely on Module-LWE where $R_q = \mathbb{Z}_q[X]/(X^{256}+1)$ and ciphertext components stay compact enough for practical deployment.