Construction of Arakelov-modular lattices over totally definite quaternion algebras

DOI10.1142/S1793042117501020zbMath1376.11057arXiv1604.02875OpenAlexW3105036969MaRDI QIDQ4975311

Xiaolu Hou

Publication date: 4 August 2017

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02875

zbMATH Keywords

modular latticesideal latticeArakelov-modular latticetotally definite quaternion

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (1)

Duality for (skew-)polynomial codes and a variation of Construction A

Uses Software

• Magma

Cites Work

• Arithmétique des algèbres de quaternions
• Some lattices over \(Q(\sqrt{-3})^*\)
• Modular lattices in Euclidean spaces
• Modular lattices over cyclotomic fields
• Lattices and Codes
• Computations of Cyclotomic Lattices
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