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A Quadratic Form Approach to Construction A of Lattices over Cyclic Algebras by Berhuy, Grégory; Oggier, Frédérique is a scholarly article available to read on EtoBox.

What is A Quadratic Form Approach to Construction A of Lattices over Cyclic Algebras about?

We propose a construction of lattices from (skew-) polynomial codes, by endowing quotients of some ideals in both number fields and cyclic algebras with a suitable trace form. We give criteria for unimodularity. This yields integral and unimodular lattices with a multiplicative structure. Examples are provided.

Author

Berhuy, Grégory; Oggier, Frédérique

Published

2020

Language

EN