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math.NT2022
RLWE and PLWE over cyclotomic fields are not equivalent
Antonio J. Di Scala, Carlo Sanna, Edoardo Signorini
We prove that the Ring Learning With Errors (RLWE) and the Polynomial Learning With Errors (PLWE) problems over the cyclotomic field are not equivalent. Precisely…
math.NT2020
Primality tests, linear recurrent sequences and the Pell equation
Danilo Bazzanella, Antonio Di Scala, Simone Dutto +1
We study new primality tests based on linear recurrent sequences of degree two exploiting a matricial approach. The classical Lucas test arises as a particular case and we see how…
math.NT2020★ 2 cited
Lucas pseudoprimes and the Pell conic
Antonio J. Di Scala, Nadir Murru, Carlo Sanna
We show a connection between the Lucas pseudoprimes and the Pell conic equipped with the Brahmagupta product introducing the Pell pseudoprimes.