In this correspondence we describe a class of codes over GF (q), where q is a power of an odd prime. These codes are analogues of the binary Reed-Muller codes and share several features in common with them. We determine the minimum weight and determine properties of these codes. For a subclass of codes we nd the weight distribution and prove that the minimum nonzero weight codewords give 1-desi...

the subgroups of symplectic groups which fix a non-zero vector of the underlying symplectic space are called affine subgroups., the split extension group $a(4)cong 2^7{:}sp_6(2)$ is the affine subgroup of the symplectic group $sp_8(2)$ of index $255$‎. ‎in this paper‎, ‎we use the technique of the fischer-clifford matrices to construct the character table of the inertia group $2^7{:}o^{-}_{6}(2...