NDLI: Semantically Secure Lattice Codes for the Gaussian Wiretap Channel

Content Provider	IEEE Xplore Digital Library
Author	Cong Ling Luzzi, L. Belfiore, J.-C. Stehle, D.
Copyright Year	1963
Abstract	We propose a new scheme of wiretap lattice coding that achieves semantic security and strong secrecy over the Gaussian wiretap channel. The key tool in our security proof is the flatness factor, which characterizes the convergence of the conditional output distributions corresponding to different messages and leads to an upper bound on the information leakage. We not only introduce the notion of secrecy-good lattices, but also propose the flatness factor as a design criterion of such lattices. Both the modulo-lattice Gaussian channel and genuine Gaussian channel are considered. In the latter case, we propose a novel secrecy coding scheme based on the discrete Gaussian distribution over a lattice, which achieves the secrecy capacity to within a half nat under mild conditions. No a priori distribution of the message is assumed, and no dither is used in our proposed schemes.
Sponsorship	IEEE Information Theory Society
Starting Page	6399
Ending Page	6416
Page Count	18
File Size	916518
File Format	PDF
ISSN	00189448
Volume Number	60
Issue Number	10
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Lattices Security Semantics Zinc Encoding Gaussian distribution Mutual information wiretap channel Lattice coding information theoretic security strong secrecy semantic security
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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Providing Secrecy With Structured Codes: Two-User Gaussian Channels

Universal Secure Network Coding via Rank-Metric Codes

Secure Multiplex Coding Attaining Channel Capacity in Wiretap Channels

Achieving the Secrecy Capacity of Wiretap Channels Using Polar Codes

A Classification of Unimodular Lattice Wiretap Codes in Small Dimensions

Secure Network Coding for Wiretap Networks of Type II

On Secure Network Coding With Nonuniform or Restricted Wiretap Sets

Strong Secrecy From Channel Resolvability

Exact Correct-Decoding Exponent of the Wiretap Channel Decoder

Semantically Secure Lattice Codes for the Gaussian Wiretap Channel

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