@MISC{Khosrovshahi_reed-mullercodes, author = {M. Karimi Behbahani G. B. Khosrovshahi and B. Tayfeh-Rezaie}, title = {Reed-Muller Codes and Incidence Matrices }, year = {} }
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Abstract
In this paper, we discuss Reed-Muller codes using a set-theoretic approach. We present a new basis of minimum weight codewords which correspond to subspaces of a fixed dimension of affine geometry over GF (2). A generator matrix in standard form is also given.