The second weight of generalized Reed-Muller codes in most cases
Résumé
The second weight of the Generalized Reed-Muller code of length q n and order d over the finite field with q elements is now known for d < q and d > (n − 1)(q − 1). In this paper, we determine the second weight for the other values of d which are not multiples of q − 1 plus 1. For the special case d = a(q − 1) + 1 we give an estimate.