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Nested block decodable runlength-limited codes

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3 Author(s)
Hogan, J. ; Hewlett-Packard Co., Palo Alto, CA, USA ; Roth, R.M. ; Ruckenstein, G.

Consider a (d1, k1)-runlength-limited (RLL) constraint that is contained in a (d2, k2)-RLL constraint, where k1⩾2d1 and d2>0, and fix a codeword length q>k2. It is shown that whenever there exist block-decodable encoders with codeword length q for those two constraints, there exist such encoders where one is a subgraph of the other: furthermore, both encoders can be decoded by essentially the same decoder. Specifically, a (d1, k1 )-RLL constrained word is decoded by first using a block decoder of the (d2, k2)-RLL encoder, and then applying a certain function to the output of that decoder

Published in:

Information Theory, IEEE Transactions on  (Volume:47 ,  Issue: 4 )