[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2012.25.3.455

RELATION BETWEEN THE FLOOR BOUND AND THE ORDER BOUND

Park, Seungkook (Department of Mathematics Sookmyung Women's University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.25, no.3, 2012 , pp. 455-462 More about this Journal

Abstract

The purpose of this paper is to show that the coset bound can be used to prove the floor bound. Our proof provides a natural relation between the floor bound and the order bound.

Keywords

algebraic-geometric code; floor bound; order bound;

Citations & Related Records

Reference

1	P. Beelen, The order bound for general algebraic geometric codes, Finite Fields Appl. 13 (2007), 665-680. DOI ScienceOn
2	I. M. Duursma, R. Kirov, and S. Park.Distance bounds for algebraic geometric codes, J. Pure Appl. Algebra. 215 (2011), 1863-1878. DOI ScienceOn
3	I. M. Duursma and S. Park, Coset bounds for algebraic geometric codes, Finite Fields Appl. 16 (2010), 36-55. DOI ScienceOn
4	B. Lundell and J. McCullough, A generalized floor bound for the minimum distance of geometric Goppa codes, J. Pure Appl. Algebra. 207 (2006), 155-164. DOI ScienceOn