Work

Construction of global function fields from linear codes and vice versa

Year: 2008

Type: article

Abstract: We introduce a new connection between linear codes and global function fields, which in turn allows us to construct new global function fields with improved lower bounds on the number of rational places. The genus and number of rational places of subfields of certain families of cyclotomic function fields are given as well.

Source: Transactions of the American Mathematical Society

DOI: 10.1090/s0002-9947-08-04710-7

Authors: Chaoping Xing, Sze Ling Yeo

Institutions: Nanyang Technological University, Institute for Infocomm Research

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2008836771

FWCI:

Cites: 22

Cited by: 5

Related to: 10