EUCLIDEAN MINIMA AND CENTRAL DIVISION ALGEBRAS-Reference-Cited by-同舟云学术

EUCLIDEAN MINIMA AND CENTRAL DIVISION ALGEBRAS

Published:2009-11 Issue:07 Volume:05 Page:1155-1168
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

BAYER-FLUCKIGER EVA¹,CERRI JEAN-PAUL²,CHAUBERT JÉRÔME¹

Affiliation:

1. École Polytechnique Fédérale de Lausanne, EPFL-FSB-IMB-CSAG, Station 8, 1015 Lausanne, Switzerland

2. Université de Bordeaux 1, IMB, Laboratoire A2X, 351, cours de la Libération, 33405 Talence, France

Abstract

The notion of Euclidean minimum of a number field is a classical one. In this paper, we generalize it to central division algebras and establish some general results in this new context.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042109002614

Reference9 articles.

1. Upper bounds for Euclidean minima of algebraic number fields

2. Multi-invariant sets on tori

3. Minimal sets on tori

4. Sphere Packings, Lattices and Groups

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. NTRU in Quaternion Algebras of Bounded Discriminant;Post-Quantum Cryptography;2023

2. Algebraic Lattice Codes for Linear Fading Channels;Number Theory Meets Wireless Communications;2020

3. Computation of Euclidean minima in totally definite quaternion fields;International Journal of Number Theory;2019-02

4. Almost universal codes achieving ergodic MIMO capacity within a constant gap;IEEE Transactions on Information Theory;2017

5. A Noncommutative Analogue of the Odlyzko Bounds and Bounds on Performance for Space-Time Lattice Codes;IEEE Transactions on Information Theory;2015-04