Browsing Bergen Open Research Archive by Author "Solé, Patrick"
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The weight spectrum of two families of Reed-Muller codes
Carlet, Claude Michael; Solé, Patrick (Journal article; Peer reviewed, 2023)We determine the weight spectra of the Reed-Muller codes RM (m− 3, m) for m ≥ 6 and RM (m − 4, m) for m ≥ 8. The technique used is induction on m, using that the sum of two weights in RM (r −1, m−1) is a weight in RM (r, ...