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Codes for a long silence

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2 Author(s)
Fachini, E. ; Dept. of Comput. Sci., Univ. of Rome "La Sapienza", Italy ; Korner, J.

We determine the exact exponential asymptotics of the maximum number of n-length binary strings any two of which differ in the following strong sense: there must be a coordinate in which one of them has a 1 in correspondence with a predetermined position within a "long run" of zeros in the other string. We discuss some generalizations and implications of this result.

Published in:

Information Theory, IEEE Transactions on  (Volume:49 ,  Issue: 8 )