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We explicitly determine all the relative generalized Hamming weights ofaffine Cartesian codes using the notion of footprints and results from extremalcombinatorics. This generalizes the previous works on the determination ofrelative generalized Hamming weights of Reed-Muller codes by Geil and Martin,as well as the determination of all the generalized Hamming weights of theaffine Cartesian codes by Beelen and Datta.

Relative Generalized Hamming weights of affine Cartesian codes