Paper 2017/698
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.
Metadata
- 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
- 2017-07-21: received
- See all versions
- Short URL
- https://ia.cr/2017/698
- License
-
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}, url = {https://eprint.iacr.org/2017/698} }