Ateş, Leyla and Stichtenoth, Henning (2016) A note on short vectors in lattices from function fields. Finite Fields and Their Applications, 39 . pp. 264-271. ISSN 1071-5797 (Print) 1090-2465 (Online)
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Official URL: http://dx.doi.org/10.1016/j.ffa.2016.02.002
Abstract
We discuss some properties of the lattices Lambda which are associated to function fields over finite fields. In particular we are interested in the lattice vectors of minimum length in Lambda and in the sublattice Delta subset of Lambda which is generated by these vectors. In the literature, one finds several examples of function fields where Delta and Lambda have the same rank (well-rounded lattices). In this paper we construct some interesting classes of function fields with rank(Delta) < rank(Lambda).
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Function field; Lattice; Minimum length of a lattice; Well-rounded lattice |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Henning Stichtenoth |
| Date Deposited: | 07 Nov 2016 11:50 |
| Last Modified: | 07 Nov 2016 11:50 |
| URI: | https://research.sabanciuniv.edu/id/eprint/30838 |
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A note on short vectors in lattices from function fields. (deposited 28 Nov 2015 14:27)
- A note on short vectors in lattices from function fields. (deposited 07 Nov 2016 11:50) [Currently Displayed]
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