DocumentCode :
3604835
Title :
Polar Coding for Secret-Key Generation
Author :
Chou, Remi A. ; Bloch, Matthieu R. ; Abbe, Emmanuel
Author_Institution :
Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Volume :
61
Issue :
11
fYear :
2015
Firstpage :
6213
Lastpage :
6237
Abstract :
Practical implementations of secret-key generation are often based on sequential strategies, which handle reliability and secrecy in two successive steps, called reconciliation and privacy amplification. In this paper, we propose an alternative approach based on polar codes that jointly deals with reliability and secrecy. Specifically, we propose secret-key capacity-achieving polar coding schemes for the following models: (i) the degraded binary memoryless source (DBMS) model with rate-unlimited public communication, (ii) the DBMS model with one-way rate-limited public communication, (iii) the 1-to-m broadcast model and (iv) the Markov tree model with uniform marginals. For models (i) and (ii) our coding schemes remain valid for non-degraded sources, although they may not achieve the secret-key capacity. For models (i), (ii) and (iii), our schemes rely on pre-shared secret seed of negligible rate; however, we provide special cases of these models for which no seed is required. Finally, we show an application of our results to secrecy and privacy for biometric systems. We thus provide the first examples of low-complexity secret-key capacity-achieving schemes that are able to handle vector quantization for model (ii), or multiterminal communication for models (iii) and (iv).
Keywords :
Markov processes; cryptography; trees (mathematics); DBMS model; Markov tree model; degraded binary memoryless source model; multiterminal communication; privacy amplification; secret-key capacity-achieving polar coding schemes; secret-key generation; vector quantization; Biological system modeling; Decoding; Encoding; Markov processes; Privacy; Protocols; Reliability; Secret-key generation; information-theoretic security; polar codes;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2015.2471179
Filename :
7217814
Link To Document :
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