Bounds on the Reliability Function of Typewriter Channels

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Bounds on the reliability of typewriter channels

New lower and upper bounds on the reliability function of typewriter channels are given. Our lower bounds improve upon the (multiletter) expurgated bound of Gallager, furnishing a new and simple counterexample to a conjecture made in 1967 by Shannon, Gallager and Berlekamp on its tightness. The only other known counterexample is due to Katsman, Tsfasman and Vlăduţ who used algebraic-geometric c...

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Bounds on the Reliability Function of Typewriter Channels

New lower and upper bounds on the reliability function of typewriter channels are given. Our lower bounds improve upon the (multiletter) expurgated bound of Gallager, furnishing a new and simple counterexample to a conjecture made in 1967 by Shannon, Gallager and Berlekamp on its tightness. The only other known counterexample is due to Katsman, Tsfasman and Vlăduţ who used algebraic-geometric c...

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ژورنال

عنوان ژورنال: IEEE Transactions on Information Theory

سال: 2018

ISSN: 0018-9448,1557-9654

DOI: 10.1109/tit.2018.2794532