Wire-tap channel II

  • Authors:
  • L H Ozarow;A D Wyner

  • Affiliations:
  • -;-

  • Venue:
  • Proc. of the EUROCRYPT 84 workshop on Advances in cryptology: theory and application of cryptographic techniques
  • Year:
  • 1985

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Abstract

Consider the following situation. K data hits are to be encoded into N K bits and transmitted over a noiseless channel. An intruder can observe a subset of his choice of size 碌 N. The encoder is to be designed to maximize the intruder's uncertainty about the data given his N intercepted channel bits, subject to the condition that the intended receiver can recover the K data bits perfectly from the N channel bits. The optimal tradoffs between the parameters K, N, 碌. and the intruder's uncertainty H (H is the "conditional entropy" of the data given the 碌. intercepted channel bits) were found. In particular, it was shown that for 碌 = N - K, a system exists with H 驴 K - 1. Thus, for example, when N = 2K and 碌 = K, it is possible to encode the K data bits into 2K channel bits, so that by looking at any K channel bits, the intruder obtains essentially no information about the data.