COVERING RADIUS OF RM(4,8)

ADVANCES IN MATHEMATICS OF COMMUNICATIONS（2024）

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摘要

We propose an effective version of the lift by derivation, an invari-ant that allows us to provide the classification of B(5, 6, 8) = RM(6, 8)/RM(4, 8). The main consequence is to establish that the covering radius of the Reed-Muller RM(4, 8) is equal to 26.

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关键词

Affine general linear group,classification,Boolean function,covering radius,Reed-Muller code

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