Rate-distortion theory for the Shannon cipher system

  • Authors:
  • H. Yamamoto

  • Affiliations:
  • Dept. of Math. Eng. & Inf. Phys., Tokyo Univ.

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

Rate distortion theory is considered for the Shannon cipher system (SCS). The admissible region of cryptogram rate R, key rate Rk, legitimate receiver's distortion D, and wiretapper's uncertainty h is determined for the SCS with a noisy channel. Furthermore, inner and outer bounds of the admissible region of R, Rk, D, and wiretapper's attainable minimum distortion D˜ are derived for the SCS with a finite discrete source and a noiseless channel