Delta sets for divisors supported in two points

Iwan M. Duursma, Seungkook Park

Research output: Contribution to journalArticlepeer-review

Abstract

In Duursma and Park (2010) [7], the authors formulate new coset bounds for algebraic geometric codes. The bounds give improved lower bounds for the minimum distance of algebraic geometric codes as well as improved thresholds for algebraic geometric linear secret sharing schemes. The bounds depend on the delta set of a coset and on the choice of a sequence of divisors inside the delta set. In this paper we give general properties of delta sets and we analyze sequences of divisors supported in two points on Hermitian and Suzuki curves.

Original languageEnglish (US)
Pages (from-to)865-885
Number of pages21
JournalFinite Fields and their Applications
Volume18
Issue number5
DOIs
StatePublished - Sep 2012

Keywords

  • 14G50
  • 94A62
  • 94B05
  • 94B27

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Algebra and Number Theory
  • Engineering(all)
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Delta sets for divisors supported in two points'. Together they form a unique fingerprint.

Cite this