Abstract
Consider the following situation. K data bits 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 μ < 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, μ and the intruder’s uncertainty H (H is the “conditional entropy” of the data given the μ intercepted channel bits) were found. In particular, it was shown that for μ = N − K, a system exists with H ∼ K − 1, Thus, for example, when N = 2K and μ = 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.
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References
Wyner, A. D., “The Wire-Tap Channel,” BSTJ, 54, pp. 1355–1387, October 1975.
Gallager, R. G., Information Theory and Reliable Communication, Wiley, New York, 1968.
Ozarow, L. H., and A. D. Wyner, “Wire-Tap Channel II”, to appear in AT&T Bell Laboratories Technical Journal.
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© 1985 Springer-Verlag Berlin Heidelberg
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Ozarow, L.H., Wyner, A.D. (1985). Wire-Tap Channel II. In: Beth, T., Cot, N., Ingemarsson, I. (eds) Advances in Cryptology. EUROCRYPT 1984. Lecture Notes in Computer Science, vol 209. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-39757-4_5
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DOI: https://doi.org/10.1007/3-540-39757-4_5
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