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Achieving Perfect Secrecy with One Bit Keys

Authors: Mohsen Karimzadeh Kiskani; Hamid R. Sadjadpour;

Achieving Perfect Secrecy with One Bit Keys

Abstract

Shannon perfect secrecy, also known as one-time pad, can only be achieved by using exactly a different key bit for each information bit. This requirement makes the implementation of perfect secrecy impractical in most applications. In this paper, a novel coding scheme for security is proposed that achieves perfect secrecy with only half a bit key per packet or equivalently, one bit key per two packets, regardless of the size of the packet. This surprising result implies that the ratio of key to the ratio of the data can asymptotically go to zero. The coding scheme has been applied to distributed cloud storage systems. Further, optimal code for security is defined and it has been shown that the proposed approach is optimal.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
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