Isotropic Constant Dimension Subspace Codes

In network code setting, a constant dimension subspace code is a set of k-dimensional subspaces of Fnq . If Fnq is a nondegenerate symplectic vector space with bilinear form f, an isotropic subspace U of Fnq is a subspace for which U ⊂ U˔. We introduce isotropic subspace codes simply as a set of isotropic subspaces and show how the property of being isotropic is used in decoding process, then we demonstrate the structure of an isotropic spread code.