REVIEW 2 cited by
Self-orthogonal generalized twisted Reed-Solomon codes
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
In this paper, by calculating the dual code of the Schur square for the standard twisted Reed-Solomon code, we give a sufficient and necessary condition for the generalized twisted Reed-Solomon code with $h+t\le k-1$ to be self-orthogonal, where $k$ is dimension, $h$ is hook and $t$ is twist. And then, we show that there is no self-orthogonal generalized twisted Reed-Solomon code under some conditions. Furthermore, several classes of self-orthogonal generalized twisted Reed-Solomon codes are constructed, and some of these codes are non-GRS self-orthogonal MDS codes or NMDS codes.
Forward citations
Cited by 2 Pith papers
-
The Hermitian Hull Dimensions for a Class of (L,P)-Twisted Generalized Reed-Solomon Codes
Hermitian hull dimensions of the codes C_{q+j}(α) are fully determined in three cases on i and q+1, producing EAQECC parameters [[i(q-1), q-1+m, d, (i-2)(q-1)+m]]_q for m=0,1,2,3.
-
Efficient Decoding of Twisted GRS Codes and Roth-Lempel Codes
Twisted GRS and Roth-Lempel codes can be list- and uniquely-decoded in near-linear time by running Guruswami-Sudan on a containing generalized Reed-Solomon code and filtering the output.
Discussion (0). Continue with ORCID to comment.