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Zero-error stationary coding over stationary channels. (English) Zbl 0444.94007

MSC:
94A24 Coding theorems (Shannon theory)
94A29 Source coding
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[1] Adler, R.L.: Ergodic and Mixing Properties of Infinite Memory Channels. Proc. Amer. Math. Soc., 12, 924-930 (1961) · Zbl 0201.53104
[2] Kieffer, J.C.: Perfect Transmission Over a Discrete Memoryless Channel Requires Infinite Expected Coding Time. [To appear in the Journal of Combinatorics, Information and System Sciences] · Zbl 0475.94007
[3] Gray, R.M., Ornstein, D.S., Dobrushin, R.L.: Block Synchronization, Sliding-Block Coding, Invulnerable Sources, and Zero Error Codes for Discrete Noisy Channels. Ann. Probab. 8, 639-674 (1980) · Zbl 0453.94010
[4] Lovasz, L.: On the Shannon Capacity of a Graph. IEEE Trans. Inform. Theory, 25, 1-7 (1979) · Zbl 0395.94021
[5] Kieffer, J.C.: On sliding block coding for transmission of a source over a stationary nonanticipatory channel. Inform. and Control, 35, 1-19 (1977) · Zbl 0365.94024
[6] Kieffer, J.C.: On the transmission of Bernoulli sources over stationary channels. Ann. Probab. 8, 942-961 (1980) · Zbl 0452.94012
[7] Kieffer, J.C.: Block Coding for a Stationary Channel Satisfying a Weak Continuity Condition. [Submitted for publication]
[8] Kieffer, J.C.: Sliding-Block Coding for Weakly Continuous Channels. [Submitted for publication] · Zbl 0473.94005
[9] Shannon, C.E.: The Zero Error Capacity of a noisy channel. Trans. Inform. Theory, 2, 8-19 (1956)
[10] Ornstein, D.S.: Bernoulli shifts with the same entropy are isomorphic. Adv. in Math., 4, 337-352 (1970) · Zbl 0197.33502
[11] Shields, P.C.: The theory of Bernoulli shifts. Chicago: Univ. of Chicago 1973 · Zbl 0308.28011
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