A classification of the cosets of the Reed-Muller code $\mathcal{R}(1,6)$
A classification of the cosets of the Reed-Muller code $\mathcal{R}(1,6)$
The weight distribution of a coset of a Reed-Muller code ¿%{\, m) is invariant under a large transformation group consisting of all affine rearrangements of a vector space with dimension m .We discuss a general algorithm that produces an ordered list of orbit representatives for this group action.As a byproduct …