Jun 14, 2021 · We obtain the number of weight 3 vectors in all the cosets of the considered code. This allows us to classify the cosets by their weight distributions.
Jul 17, 2020 · We consider the [q+1,q-3,5]_q3 generalized doubly-extended Reed-Solomon code of codimension 4 as the code associated with the twisted cubic in ...
In this paper, we consider the weight distribution of the cosets of the [q +1,q −3, 5]q3 GDRS code of codimension 4. We consider it as the code CC associated ...
Jul 17, 2020 · In this paper, we consider the weight distribution of the cosets of the [q + 1,q − 3, 5]q3. GDRS code of codimension 4. We consider it as the ...
Oct 22, 2024 · We consider the $[q+1,q-3,5]_q3$ generalized doubly-extended Reed-Solomon code of codimension $4$ as the code associated with the twisted cubic ...
It is proved that the difference between the w-th components of the distributions is uniquely determined by the Difference between the 3-rd components, ...
The weight distribution of the cosets of maximum distance separable (MDS) codes is considered. In 1990, P.G. Bonneau proposed a relation to obtain the full ...
On cosets weight distributions of the doubly-extended Reed-Solomon codes of codimension 4 · A. DavydovS. MarcuginiF. Pambianco. Mathematics. ArXiv. 2020. TLDR.
If d = n−k+1, it is a maximum distance separable (MDS) code. The generalized Reed-Solomon (GRS) codes, including general- ized doubly-extended Reed-Solomon ( ...
... coset leader weight distribution. These codes have covering radius 3 or 4, respectively, which is one less than the covering radius of the comparable RS codes.
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