arXiv subjects

G. Berhuy

Publications and source records attributed to G. Berhuy.

2 recordsLinked to original sources

arXiv2026

On the rank weight hierarchy of $M$-codes

We study the rank weight hierarchy of linear codes which are stable under a linear endomorphism defined over the base field, in particular when the endomorphism is cyclic. In this last case, we give a necessary and sufficient condition for such a code to have first rank weight equal to $1$ in terms of its generator polynomial, as well as an explicit formula for its last rank weight.

cs.IT↗

arXiv2005

On the notion of canonical dimension for algebraic groups

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 minimal number of parameters required to define a generic hypersurface of degree d in P^{n-1}.

math.AG↗