RELATIVE GENERALIZED HAMMING WEIGHTS OF q-ARY REED-MULLER CODES

摘要

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].