Don Coppersmith's scientific contributions

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Ideas which have origins in C. E. Shannon's work in information theory have arisen independently in a mathematical discipline called symbolic dynamics. These ideas have been refined and developed in recent years to a point where they yield general algorithms for constructing practical coding schemes with engineering applications. In this work we pr...

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... 3) Transmit the first bits, 1 , of c + v. 4) Transmit the identity of the coset leader. Choosing an RLL constrained word in Step 1 above can be accomplished using well-known constrained encoders (see, for example, [18] and Chapters 4 and 5 of [1]), of rates arbitrarily close to the noiseless capacity, ( ) 0 , of the ( , ∞)-RLL constraint. Further, Lemma VI.1 shows that Step 2 can also be achieved. ...