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

Aleshnikov, I. ; Kumar, P. V. ; Shum, K. W. ; Stichtenoth, H. (2001) On the splitting of places in a tower of function fields meeting the Drinfeld-Vladut bound IEEE Transactions on Information Theory, 47 (4). pp. 1613-1619. ISSN 0018-9448

Full text not available from this repository.

Official URL: http://ieeexplore.ieee.org/document/923746/

Related URL: http://dx.doi.org/10.1109/18.923746

Abstract

A description of how places split in an asymptotically optimal tower of function fields studied by Garcia and Stichtenoth (1995) is provided and an exact count of the number of places of degree one is given. This information is useful in the setting up of generator matrices for algebraic-geometry codes constructed over this function field tower. These long codes have performance that asymptotically improves upon the Gilbert-Varshamov bound.

Item Type:Article
Source:Copyright of this article belongs to Institute of Electrical and Electronic Engineers.
ID Code:110284
Deposited On:31 Jan 2018 10:41
Last Modified:31 Jan 2018 10:41

Repository Staff Only: item control page