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Relative generalized Hamming weights of <i>q</i>-ary Reed-Muller codes

Relative generalized Hamming weights of <i>q</i>-ary Reed-Muller codes

Coset constructions of q-ary Reed-Muller codes can be used to store secrets on a distributed storage system in such a way that only parties with access to a large part of the system can obtain information while still allowing for local error-correction. In this paper we determine the relative generalized …