Power-of-two cyclotomics is a popular choice when instantiating the BGV scheme because
of its efficiency and compliance with the FHE standard. However, in power-of-two …

We conduct a systematic examination of vector arithmetic for polynomial multiplications in
software. Vector instruction sets and extensions typically specify a fixed number of registers …

We improve the performance of lattice-based cryptosystems Dilithium on Cortex-M3 with
expensive multiplications. Our contribution is two-fold:(i) We generalize Barrett multiplication …

This paper achieves fast polynomial inverse operations specifically tailored for the NTRU
Prime KEM on ARMv8 NEON instruction set benchmarking on four processor architectures …

We survey various mathematical tools used in software works multiplying polynomials
in\[\frac {\mathbb {Z} _q [x]}{\left\langle {x^ n-\alpha x-\beta}\right\rangle}.\] In particular, we …