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Generalized Cyclic Convolutional Codes

Steve SzaboSteve Szabo/ Eastern Kentucky University

Coding Theory (channel coding) is the mathematical backbone of modern day communications. It allows devices and systems to communicate over channels that are less than perfect. There are two main types of linear codes, linear block codes and convolutional codes. Although both are widely used in practice, linear block codes have a richer and more developed theory which includes the study of cyclic block codes. In this talk the notion of a cyclic convolutional code will be discussed. Then a generalization of this notion will be presented. Finally, it will be shown that some of the main results on cyclic convolutional codes carry over to this generalization nicely.

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