On bilinear forms of height 2 and degree 1 or 2 in characteristic 2

Our aim in this paper is to complete some results given in [A. Laghribi, Sur le déploiement des formes bilinéaires en caractéristique 2, Pacific J. Math. 232 (2007) 207–232] on the classification of symmetric bilinear forms of height 2 and degree d=1 or 2 over fields of characteristic 2, i.e., those whose anisotropic parts over their own function fields are similar to d-fold bilinear Pfister forms.