A note on short vectors in lattices from function fields

作者：Ates Leyla; Stichtenoth Henning^*

来源：Finite Fields and Their Applications, 2016, 39: 264-271.

DOI：10.1016/j.ffa.2016.02.002

• Function field
• Lattice
• Minimum length of a lattice
• Well-rounded lattice

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).

• 出版日期2016-5