Completing the determination of the next-to-minimal weights of affine cartesian codes

摘要

In a previous paper (see [3]) we determined the values of the next-to-minimal Hamming weights of affine cartesian codes of order d, for almost all values of d. In the present paper we determine the next-to-minimal weights for the missing values of d, assuming that the sets in the cartesian product which appears in the definition of the code are subfields of Fq. (c) 2020 Elsevier Inc. All rights reserved.