Ranks and Kernels of Codes from Generalized Hadamard Matrices

Steven T. Dougherty, Josep Rifà, Mercè Villanueva

The ranks and kernels of generalized Hadamard matrices are studied. It is proven that any generalized Hadamard matrix $H(q,\lambda )$ over $F_q$, $q>3$, or $q=3$ and $\gcd (3,\lambda )\ne 1$, g…