Antti Haavikko

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20242026

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cs.CR2025

A Fast Multiplication Algorithm and RLWE-PLWE Equivalence for the Maximal Real Subfield of the $2^{r} p^{s}$ -th Cyclotomic Field

Wilmar Bolaños, Antti Haavikko, Rodrigo Martín Sánchez-Ledesma

This paper proves the RLWE-PLWE equivalence for the maximal real subfields of the cyclotomic fields with conductor $n = 2^{r} p^{s}$ , where $p$ is an odd prime, and $r \geq 0$ and $s \…

cs.CR2024

Fast Multiplication and the PLWE-RLWE Equivalence for an Infinite Family of Maximal Real Subfields of Cyclotomic Fields

Joonas Ahola, Iván Blanco-Chacón, Wilmar Bolaños +3

We prove the equivalence between the Ring Learning With Errors (RLWE) and the Polynomial Learning With Errors (PLWE) problems for the maximal totally real subfield of the $2^{r} 3^{s}$ …

A Fast Multiplication Algorithm and RLWE-PLWE Equivalence for the Maximal Real Subfield of the 2rps-th Cyclotomic Field

Fast Multiplication and the PLWE-RLWE Equivalence for an Infinite Family of Maximal Real Subfields of Cyclotomic Fields

A Fast Multiplication Algorithm and RLWE-PLWE Equivalence for the Maximal Real Subfield of the $2^{r} p^{s}$ -th Cyclotomic Field