### δ-subgaussian Random Variables in Cryptography

Sean Murphy and Rachel Player

##### Abstract

In the Ring-LWE literature, there are several works that use a statistical framework based on delta-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 delta-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 delta-subgaussian random variable, which we argue is more statistically natural. This formulation enables us to extend prior results on sums of delta-subgaussian random variables, and on their discretisation.

Available format(s)
Publication info
Published elsewhere. ACISP 2019 : The 24th Australasian Conference on Information Security and Privacy
Keywords
Ring Learning with ErrorsSubgaussian Random Variable.
Contact author(s)
s murphy @ rhul ac uk
History
2019-04-04: last of 4 revisions
See all versions
Short URL
https://ia.cr/2017/698

CC BY

BibTeX

@misc{cryptoeprint:2017/698,
author = {Sean Murphy and Rachel Player},
title = {δ-subgaussian Random Variables in Cryptography},
howpublished = {Cryptology ePrint Archive, Paper 2017/698},
year = {2017},
note = {\url{https://eprint.iacr.org/2017/698}},
url = {https://eprint.iacr.org/2017/698}
}

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