Abstract

We study the maximum zero-run length, L/sub max/, of cosets of convolutional codes, and show that an associated block subcode to a large extent determines L/sub max/. A communication system or storage system may use a coset of a binary convolutional code for both symbol synchronization and error control. To achieve symbol synchronization, the coset must have a short maximum zero-run length, L/sub /(max). The shortest values of L/sub max/ can be found in the class of convolutional codes of rate (n-r)/n for which at least one row of a minimal parity check matrix is nonpolynomial. We focus on this class.

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