Abstract
In this paper, we construct mΘ spectrum of Reed Muller codes, a family of mΘ linear codes [5] with large mΘ minimum distance. First, we cover the necessary material on the mΘ Boolean algebra. We then define the mΘ spectrum of Reed Muller codes RM Θ (r, m) as certain subspaces of the mΘ Boolean algebra . We determinate the parameters of RM Θ (r, m).
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