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cs.IT2020★ 4 cited
On integral weight spectra of the MDS codes cosets of weight 1, 2, and 3
Alexander A. Davydov, Stefano Marcugini, Fernanda Pambianco
The weight of a coset of a code is the smallest Hamming weight of any vector in the coset. For a linear code of length , we call integral weight spectrum the overall numbers of…
cs.IT2020★ 1 cited
On cosets weight distributions of the doubly-extended Reed-Solomon codes of codimension 4
Alexander A. Davydov, Stefano Marcugini, Fernanda Pambianco
We consider the generalized doubly-extended Reed-Solomon code of codimension as the code associated with the twisted cubic in the projective space $\mathrm{PG}…