A note on the low order assumption in class groups of imaginary quadratic number fields
BELABAS, Karim
Analyse cryptographique et arithmétique [CANARI]
Lithe and fast algorithmic number theory [LFANT]
Leer más >
Analyse cryptographique et arithmétique [CANARI]
Lithe and fast algorithmic number theory [LFANT]
BELABAS, Karim
Analyse cryptographique et arithmétique [CANARI]
Lithe and fast algorithmic number theory [LFANT]
< Leer menos
Analyse cryptographique et arithmétique [CANARI]
Lithe and fast algorithmic number theory [LFANT]
Idioma
en
Article de revue
Este ítem está publicado en
Mathematical Cryptology. 2023, vol. 3, n° 1, p. 44-51
Florida Online Journals
Resumen en inglés
In this short note we analyze the low order assumption in the imaginary quadratic number fields. We show how this assumption is broken for Mersenne primes. We also provide a description on how to attack this assumption for ...Leer más >
In this short note we analyze the low order assumption in the imaginary quadratic number fields. We show how this assumption is broken for Mersenne primes. We also provide a description on how to attack this assumption for other class of prime numbers leveraging mathematical tools coming from higher (cubic) number fields.< Leer menos
Palabras clave en inglés
IQC
VDF
class group
public-key cryptography
Proyecto ANR
Familles de fonctions L: analyse, interactions, résultats effectifs - ANR-17-CE40-0012
Orígen
Importado de HalCentros de investigación