Calmon, Flavio du Pin, Medard, Muriel, Zeger, Linda M., Barros, Joao, Christiansen, Mark M. and Duffy, Ken R. (2012) Lists that are smaller than their parts: A coding approach to tunable secrecy. In: IEEE 50th Annual Allerton Conference on Communication, Control, and Computing, 1-5 October 2012, Allerton Retreat Center Monticello, Illinois.
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Abstract
We present a new information-theoretic definition
and associated results, based on list decoding in a
source coding setting. We begin by presenting list-source
codes, which naturally map a key length (entropy) to
list size. We then show that such codes can be analyzed
in the context of a novel information-theoretic metric, ϵ-symbol
secrecy, that encompasses both the one-time pad
and traditional rate-based asymptotic metrics, but, like
most cryptographic constructs, can be applied in nonasymptotic
settings. We derive fundamental bounds for ϵ-symbol
secrecy and demonstrate how these bounds can be
achieved with MDS codes when the source is uniformly
distributed. We discuss applications and implementation
issues of our codes.
Item Type: | Conference or Workshop Item (Paper) |
---|---|
Keywords: | Information Theory; tunable secrecy; security; list decoding; |
Academic Unit: | Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
Item ID: | 5985 |
Depositing User: | Dr Ken Duffy |
Date Deposited: | 24 Mar 2015 16:58 |
Refereed: | Yes |
Funders: | Higher Education Authority (HEA) |
Related URLs: | |
URI: | https://mural.maynoothuniversity.ie/id/eprint/5985 |
Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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