3 citations · 4 across the 5 of their papers we have counts for
Showing cs.ITShow all
3 papers · 1 filter
cs.IT2020
A Quadratic Form Approach to Construction A of Lattices over Cyclic Algebras
Grégory Berhuy, Frédérique Oggier
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 g…
cs.IT2019
Rank weights for arbitrary finite field extensions
Grégory Berhuy, Jean Fasel, Odile Garotta
In this paper, we study several definitions of generalized rank weights for arbitrary finite extensions of fields. We prove that all these definitions coincide, generalizing known…
cs.IT2014★ 3 cited
Bounds of fast decodability of space time block codes, skew-Hermitian matrices, and Azumaya algebras
Grégory Berhuy, Nadya Markin, B. A. Sethuraman
We study fast lattice decodability of space-time block codes for transmit and receive antennas, written very generally as a linear combination , where…