Pith. sign in

REVIEW

On cyclic algebraic-geometry 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

arxiv 2106.08884 v1 pith:PXQFKWYZ submitted 2021-06-01 math.AG cs.ITmath.COmath.ITmath.NT

classification math.AGcs.ITmath.COmath.ITmath.NT
keywords cyclicalgebraiccodesgeometryconstructedfieldfunctiongive
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

In this paper we initiate the study of cyclic algebraic geometry codes. We give conditions to construct cyclic algebraic geometry codes in the context of algebraic function fields over a finite field by using their group of automorphisms. We prove that cyclic algebraic geometry codes constructed in this way are closely related to cyclic extensions. We also give a detailed study of the monomial equivalence of cyclic algebraic geometry codes constructed with our method in the case of a rational function field.

Discussion (0). Continue with ORCID to comment.

Pith tools