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Reed-Muller type codes over a combinatorial simplex: an algebraic description

arXiv:2606.02819v1 Announce Type: new Abstract: Given an ordered set $B$ of a finite field, a combinatorial simplex over $B$ is defined as the set of vectors such that the positions of the entries, with respect to $B$, sum up to a fixed integer. CAP codes are Reed-Muller type codes defined over a combinatorial simplex.

arXiv CS 7d ago