J. De Beule

Few-Weight Linear Sets and Divisibility of Rank-Metric Codes

We study $\mathbb F_q$-linear sets whose positive point weights belong to a prescribed finite set $A$. The integer $e=\gcd(A)$ always divides the rank of the defining subspace, but the divisibility does not by itself imply linearity over $\mathbb F_{q^e}$. We show that it does in a broad parameter range. Let $L_U$ be a...