Imperial College London
Alternate

DrCongLing

Faculty of Engineering, Department of Electrical and Electronic Engineering

Reader in Coding and Information Theory
 
 
 
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Contact

 

+44 (0)20 7594 6214c.ling

 
 
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Location

 

815Electrical EngineeringSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Wang:2023:10.1007/s10623-022-01164-7,
author = {Wang, J and Ling, C},
doi = {10.1007/s10623-022-01164-7},
journal = {Designs, Codes and Cryptography},
pages = {1779--1811},
title = {Polar sampler: A novel Bernoulli sampler using polar codes with application to integer Gaussian sampling},
url = {http://dx.doi.org/10.1007/s10623-022-01164-7},
volume = {91},
year = {2023}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Cryptographic constructions based on hard lattice problems have emerged as a front runner for the standardization of post-quantum public-key cryptography. As the standardization process takes place, optimizing specific parts of proposed schemes, e.g., Bernoulli sampling and integer Gaussian sampling, becomes a worthwhile endeavor. In this work, we propose a novel Bernoulli sampler based on polar codes, dubbed “polar sampler”. The polar sampler is information theoretically optimum in the sense that the number of uniformly random bits it consumes approaches the entropy bound asymptotically. It also features quasi-linear complexity and constant-time implementation. An integer Gaussian sampler is developed using multilevel polar samplers. Our algorithm becomes effective when sufficiently many samples are required at each query to the sampler. Security analysis is given based on Kullback–Leibler divergence and Rényi divergence. Experimental and asymptotic comparisons between our integer Gaussian sampler and state-of-the-art samplers verify its efficiency in terms of entropy consumption, running time and memory cost. We envisage that the proposed Bernoulli sampler can find other applications in cryptography in addition to Gaussian sampling.
AU  - Wang,J
AU  - Ling,C
DO  - 10.1007/s10623-022-01164-7
EP  - 1811
PY  - 2023///
SN  - 0925-1022
SP  - 1779
TI  - Polar sampler: A novel Bernoulli sampler using polar codes with application to integer Gaussian sampling
T2  - Designs, Codes and Cryptography
UR  - http://dx.doi.org/10.1007/s10623-022-01164-7
UR  - https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000913545300001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=a2bf6146997ec60c407a63945d4e92bb
UR  - https://link.springer.com/article/10.1007/s10623-022-01164-7
UR  - http://hdl.handle.net/10044/1/103182
VL  - 91
ER  -
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