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arxiv: cs/0609160 · v1 · submitted 2006-09-29 · 💻 cs.IT · cs.DM· math.IT

Redundancies of Correction-Capability-Optimized Reed-Muller Codes

classification 💻 cs.IT cs.DMmath.IT
keywords codesredundanciesreed-mulleralgorithmarticleberlekamp-massey-sakatacorrection-capability-optimizeddecoding
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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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