TY - GEN
T1 - δ-subgaussian Random Variables in Cryptography
AU - Murphy, Sean
AU - Player, Rachel
N1 - Published on IACR Cryptology ePrint Archive: Report 2017/698.
PY - 2019/5/30
Y1 - 2019/5/30
N2 - In the Ring-LWE literature, there are several works that use a statistical framework based on δ-subgaussian random variables. These were introduced by Miccancio and Peikert (Eurocrypt 2012) as a relaxation of subgaussian random variables. In this paper, we completely characterise δ-subgaussian random variables. In particular, we show that this relaxation from a subgaussian random variable corresponds only to the shifting of the mean. Next, we give an alternative noncentral formulation for a δ-subgaussian random variable, which we argue is more statistically natural. This formulation enables us to extend prior results on sums of δ-subgaussian random variables, and on their discretisation.
AB - In the Ring-LWE literature, there are several works that use a statistical framework based on δ-subgaussian random variables. These were introduced by Miccancio and Peikert (Eurocrypt 2012) as a relaxation of subgaussian random variables. In this paper, we completely characterise δ-subgaussian random variables. In particular, we show that this relaxation from a subgaussian random variable corresponds only to the shifting of the mean. Next, we give an alternative noncentral formulation for a δ-subgaussian random variable, which we argue is more statistically natural. This formulation enables us to extend prior results on sums of δ-subgaussian random variables, and on their discretisation.
UR - https://eprint.iacr.org/2017/698
U2 - 10.1007/978-3-030-21548-4_14
DO - 10.1007/978-3-030-21548-4_14
M3 - Conference contribution
SN - 978-3-030-21547-7
T3 - LNCS
SP - 251
EP - 268
BT - ACISP 2019 -- The 24th Australasian Conference on Information Security and Privacy
PB - Springer
ER -