Pith. sign in

REVIEW 1 cited by

New MDS Self-dual Codes over Finite Fields of Odd Characteristic

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

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

arxiv 1811.02802 v9 pith:YBBHRK4Q submitted 2018-11-07 cs.IT math.IT

Xiaolei Fang , Khawla Lebed , Hongwei Liu , Jinquan Luo This is my paper · ORCID
classification cs.ITmath.IT
keywords codesself-dualcharacteristicfieldsfinitebeenclassesconstructions
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

In this paper, we produce new classes of MDS self-dual codes via (extended) generalized Reed-Solomon codes over finite fields of odd characteristic. Among our constructions, there are many MDS self-dual codes with new parameters which have never been reported. For odd prime power $q$ with $q$ square, the total number of lengths for MDS self-dual codes over $\mathbb{F}_q$ presented in this paper is much more than those in all the previous results.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On Euclidean Hulls of MDS Codes

    cs.IT 2019-08 accept novelty 6.0 of 10

    Any self-orthogonal (extended) GRS code of dimension m yields MDS codes of every smaller dimension k with any Euclidean hull dimension from 0 to k.

Pith tools