A note on the Shannon capacity of run-length-limited codes (Corresp.)
Ashley, J.; Siegel, P.
Information Theory, IEEE Transactions on
Volume 33, Issue 4, Jul 1987 Page(s): 601 - 605
Digital Object Identifier  
Summary: It is proven that 100-percent efficient fixed-rate codes for run-length-limited (RLL)(d,k)and RLL charge-constrained(d, k; c)channels are possible in only two eases, namely(d,k; c)=(0,1;1)and(1,3;3). Specifically, the binary Shannon capacity of RLL(d, k)constrained systems is shown to be irrational for all values of(d, k),0 leq d < k. For RLL charge-constrained systems with parameters(d, k;c), the binary capacity is irrational for all values of(d, k; c),0 leq d < k,2c geq k + 1, except(0,1; 1)and(1,3;3), which both have binary capacity1/2.

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