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Another Generalization of the Reed-Muller Codes

Published 12 May 2016 in cs.IT and math.IT | (1605.03796v2)

Abstract: The punctured binary Reed-Muller code is cyclic and was generalized into the punctured generalized Reed-Muller code over $\gf(q)$ in the literature. The major objective of this paper is to present another generalization of the punctured binary Reed-Muller code. Another objective is to construct a family of reversible cyclic codes that are related to the newly generalized Reed-Muller codes.

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