Relative generalized Hamming weights of q-ary Reed-Muller codes
Olav Geil, Stefano Martin · Advances in Mathematics of Communications · 2017
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 Hamming weights of these codes which can be translated into a detailed description of the information leakage [2,21,18,9]