Abstract
In this paper, we continue the recent work of Fukshansky and Maharaj on lattices from elliptic curves over finite fields. We show that there exist bases formed by minimal vectors for these lattices except only one case. We also compute their determinants, and obtain sharp bounds for the covering radius.
Original language | English |
---|---|
Pages (from-to) | 84-107 |
Number of pages | 24 |
Journal | Finite Fields and their Applications |
Volume | 31 |
DOIs | |
Publication status | Published - Jan 2015 |
Externally published | Yes |
Keywords
- basis
- covering radius
- elliptic curve
- lattice
- minimal vector