Frontiers of Mathematics in China >

2007 , Vol. 2 >Issue 1: 1 - 11

DOI: https://doi.org/10.1007/s11464-007-0001-x

Algebraic geometric codes with applications

Expand
  • Department of Computing and Information Technology, School of Information Science and Engineering, Fudan University, Shanghai 200433, China

Published date: 05 Mar 2007

Fold

Abstract

The theory of linear error-correcting codes from algebraic geometric curves (algebraic geometric (AG) codes or geometric Goppa codes) has been well-developed since the work of Goppa and Tsfasman, Vladut, and Zink in 1981 1982. In this paper we introduce to readers some recent progress in algebraic geometric codes and their applications in quantum error-correcting codes, secure multi-party computation and the construction of good binary codes.

Cite this article

CHEN Hao . Algebraic geometric codes with applications[J]. Frontiers of Mathematics in China, 2007 , 2(1) : 1 -11 . DOI: 10.1007/s11464-007-0001-x

Options
Outlines

/

〈 〉