Convolutional codes from units in matrix and group rings

Details Convolutional codes from units in matrix and group rings Convolutional codes from units in matrix and group rings

2007-11-22

arxiv.org/abs/0711.3629v1

Computer Science

Information Theory

Scientific paper

A general method for constructing convolutional codes from units in Laurent series over matrix rings is presented. Using group ring as matrix rings, this forms a basis for in-depth exploration of convolutional codes from group ring encoding, wherein the ring in the group ring is itself a group ring. The method is used to algebraically construct series of convolutional codes. Algebraic methods are used to compute free distances and to construct convolutional codes to prescribed distances.

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