Starting from results on elliptic curves and Kloosterman sums over the finite field GE(2/sup t/), the authors determine the weights of the orthogonals of some binary linear codes; the Melas code of length, the irreducible cyclic binary code of length 2/sup t/+1, and the extended binary Goppa codes defined by polynomials of degree two. >
['Gilles Lachaud', 'Jacques Wolfmann']
The weights of the orthogonals of the extended quadratic binary Goppa codes