Treffer: Codes on weighted projective planes.

We comprehensively study weighted projective Reed–Muller (WPRM) codes on weighted projective planes P (1 , a , b) . We provide the universal Gröbner basis for the vanishing ideal of the set Y of F q -rational points of P (1 , a , b) to get the dimension of the code. We determine the regularity set of Y using a novel combinatorial approach. We employ footprint techniques to compute the minimum distance. [ABSTRACT FROM AUTHOR]

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