Abstract:The aim of this work is to study the dual and the algebraic dual of an evaluation code using standard monomials and indicator functions. We show that the dual of an evaluation code is the evaluation code of the algebraic dual. We develop an algorithm for computing a basis for the algebraic dual. Let C1 and C2 be linear codes spanned by standard monomials. We give a combinatorial condition for the monomial equivalence of C1 and the dual C ⊥ 2 . Moreover, we give an explicit description of a generator matrix of … Show more
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