On the splitting of places in a tower of function fields meeting the Drinfeld-Vladut bound

Authors
Aleshnikov, I Kumar, PV Shum, KW Stichtenoth, H
Citation
I. Aleshnikov et al., On the splitting of places in a tower of function fields meeting the Drinfeld-Vladut bound, IEEE INFO T, 47(4), 2001, pp. 1613-1619
Citations number
16
Categorie Soggetti
Information Tecnology & Communication Systems
Journal title
IEEE TRANSACTIONS ON INFORMATION THEORY
ISSN journal
00189448 → ACNP
Volume
47
Issue
4
Year of publication
2001
Pages
1613 - 1619
Database
ISI
SICI code
0018-9448(200105)47:4<1613:OTSOPI>2.0.ZU;2-J
Abstract
A description of how places split in an asymptotically optimal tower of fun ction fields studied by Garcia and Stichtenoth is provided and an exact cou nt of the number of places of degree one is given. This information is usef ul in the setting up of generator matrices for algebraic-geometry codes con structed over this function field tower. These long codes have performance that asymptotically improves upon the Gilbert-Varshamov bound.