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A construction technique for random-error-correcting convolutional codes

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1 Author(s)
Costello, D.J., Jr. ; University of Notre Dame, Notre Dame, IN, USA

A simple algorithm is presented for finding rate 1/n random-error-correcting convolutional codes. Good codes considerably longer than any now known are obtained. A discussion of a new distance measure for convolutional codes, called the free distance, is included. Free distance is particularly useful when considering decoding schemes, such as sequential decoding, which are not restricted to a fixed constraint length. It is shown how the above algorithm can be modified slightly to produce codes with known free distance. A comparison of probability of error with sequential decoding is made among the best known constructive codes of constraint length 36.

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Information Theory, IEEE Transactions on  (Volume:15 ,  Issue: 5 )