Redundancies of Correction-Capability-Optimized Reed-Muller Codes

Published 29 Sep 2006 in cs.IT, cs.DM, and math.IT | (0609160v1)

Abstract: This article is focused on some variations of Reed-Muller codes that yield improvements to the rate for a prescribed decoding performance under the Berlekamp-Massey-Sakata algorithm with majority voting. Explicit formulas for the redundancies of the new codes are given.

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