The Second Weight of Generalized Reed-Muller Codes
Robert Rolland · 2009
Abstract. The second weight of the Generalized Reed-Muller code of order d over the finite field with q elements is now known for d (n − 1)(q − 1). In this paper, we determine the second weight for the other values of d which are not multiple of q −1 plus 1. For the special case d = a(q −1)+1 we give an estimate. 1.