3 citations · 4 across the 5 of their papers we have counts for
5 papers
Minimal and characteristic polynomials of symmetric matrices in characteristic two
Grégory Berhuy
Let be a field of characteristic two. We prove that a non constant monic polynomial of degree is the minimal/characteristic polynomial of a symmetric matrix wit…
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…
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…
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…
On the notion of canonical dimension for algebraic groups
G. Berhuy, Z. Reichstein
We define and study a new numerical invariant of an algebraic group action which we call the canonical dimension. We then apply the resulting theory to the problem of computing the…