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A note on short vectors in lattices from function fields

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
ID Code:30838
Deposited By:Henning Stichtenoth
Deposited On:07 Nov 2016 11:50
Last Modified:07 Nov 2016 11:50

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