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
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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 |
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