A Note on Small Weight Codewords of Projective Geometric Codes and on the Smallest Sets of Even Type
A Note on Small Weight Codewords of Projective Geometric Codes and on the Smallest Sets of Even Type
.In this paper, we study the codes \(\mathcal C_k(n,q)\) arising from the incidence of points and \(k\)-spaces in \(\textrm{PG}(n,q)\) over the field \(\mathbb F_p\), with \(q = p^h\), \(p\) prime. We classify all codewords of minimum weight of the dual code \(\mathcal C_k(n,q)^\perp\) in case \(q \in \{4,8\}\). This is …