Hamming Distortion Based Secrecy Systems: To Foil the Eavesdropper With Finite Shared Key


Rate-distortion based mostly secrecy is introduced in communication systems recently, where security is measured by the distortion that an eavesdropper can be forced to realize when reconstructing secret source symbols from an encrypted message. To maximize the distortion, previous works show that at least an unbounded range of secret keys growing with the block length is required for general distortion live. Instead, during this letter, we can show that if hamming distortion, i.e. symbol error probability, is considered in secrecy systems, maximal hamming distortion is achievable with only a finite and constant number of shared secret keys, regardless of how long the block length grows.

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