Abstract

The decoding function can be accomplished with a simple logic array. Note that the code above can easily be transformed into a (d = 1, k = 11) RLL code by representing the source word “2 ” by “000000 ” or “111111. ” If Q, ~6 = 00, then represent the source word “2 ” by “000000. ” It should be appreciated that the smallest block-decodable conventional rate 2/3 (d = 1, k = 11) code requires a codeword length of n = 18. This clearly shows that a design of an RLL code which is not a (d, k) code plus precoder can be quite advantageous. IV. CONCLUSIONS We have presented a new rate 4/6 (d = 1, k = 11) runlength-limited code. The code is block-decodable, and it is particularly attractive as many commercially available Reed-Solomon codes operate in GF (2’). The encoder can be implemented with a simple 6-bit ROM, and decoding can be accomplished with a logic array.

Citations