Manuel González Sarabia, M. Eduardo Uribe-Paczka, Eliseo Sarmiento, Carlos Rentería: Relative generalized minimum distance functions, 289-302


In this paper we introduce the relative generalized minimum distance function (RGMDF for short) and it allows us to give an algebraic approach to the relative generalized Hamming weights of the projective Reed-Muller-type codes. Also, we introduce the relative generalized footprint function and it gives a tight lower bound for the RGMDF, which is much easier to compute.

Key Words: Relative generalized minimum distance function, relative generalized footprint function, relative generalized Hamming weights.

2010 Mathematics Subject Classification: Primary 13P25; Secondary 14G50, 94B27, 11T71.

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