A zero-dimensional approach to Hermitian codes

Edoardo Ballico; Alberto Ravagnani

doi:10.1016/j.jpaa.2014.05.031

A zero-dimensional approach to Hermitian codes

Edoardo Ballico, Alberto Ravagnani

Mathematical Communication Theory

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

3 Citaten (Scopus)

Samenvatting

We study the algebraic geometry of a family of evaluation codes from plane smooth curves defined over any field. In particular, we provide a cohomological characterization of their dual minimum distance. After having discussed some general results on zero-dimensional subschemes of the plane, we focus on the interesting case of Hermitian s-point codes, describing the geometry of their dual minimum-weight codewords.

Originele taal-2	Engels
Pagina's (van-tot)	1031-1044
Aantal pagina's	14
Tijdschrift	Journal of Pure and Applied Algebra
Volume	219
Nummer van het tijdschrift	4
DOI's	https://doi.org/10.1016/j.jpaa.2014.05.031
Status	Gepubliceerd - 1 apr. 2015

Toegang tot document

10.1016/j.jpaa.2014.05.031

https://arxiv.org/abs/1202.0894

Andere bestanden en links

Link to publication in Scopus

Citeer dit

@article{375894738c2b447da23736a103244c59,

title = "A zero-dimensional approach to Hermitian codes",

abstract = "We study the algebraic geometry of a family of evaluation codes from plane smooth curves defined over any field. In particular, we provide a cohomological characterization of their dual minimum distance. After having discussed some general results on zero-dimensional subschemes of the plane, we focus on the interesting case of Hermitian s-point codes, describing the geometry of their dual minimum-weight codewords.",

author = "Edoardo Ballico and Alberto Ravagnani",

year = "2015",

month = apr,

day = "1",

doi = "10.1016/j.jpaa.2014.05.031",

language = "English",

volume = "219",

pages = "1031--1044",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier",

number = "4",

}

TY - JOUR

T1 - A zero-dimensional approach to Hermitian codes

AU - Ballico, Edoardo

AU - Ravagnani, Alberto

PY - 2015/4/1

Y1 - 2015/4/1

N2 - We study the algebraic geometry of a family of evaluation codes from plane smooth curves defined over any field. In particular, we provide a cohomological characterization of their dual minimum distance. After having discussed some general results on zero-dimensional subschemes of the plane, we focus on the interesting case of Hermitian s-point codes, describing the geometry of their dual minimum-weight codewords.

AB - We study the algebraic geometry of a family of evaluation codes from plane smooth curves defined over any field. In particular, we provide a cohomological characterization of their dual minimum distance. After having discussed some general results on zero-dimensional subschemes of the plane, we focus on the interesting case of Hermitian s-point codes, describing the geometry of their dual minimum-weight codewords.

UR - http://www.scopus.com/inward/record.url?scp=84916236939&partnerID=8YFLogxK

U2 - 10.1016/j.jpaa.2014.05.031

DO - 10.1016/j.jpaa.2014.05.031

M3 - Article

AN - SCOPUS:84916236939

SN - 0022-4049

VL - 219

SP - 1031

EP - 1044

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 4

ER -

A zero-dimensional approach to Hermitian codes

Samenvatting

Toegang tot document

Andere bestanden en links

Vingerafdruk

Citeer dit