Constructions and properties of block codes for partial-response channels

We report on block-coding techniques for partial-response channels with transfer function (1/spl mnplus/D/sup m/), m=1, 2, ... . We consider various constructions of block codes with prescribed minimum Euclidean distance. Upper and lower bounds to the size of a code with minimum squared Euclidean distance greater than unity are furnished. A table is presented of cardinalities of codes of small length with prescribed minimum squared Euclidean distance.

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