A class of optimal p-ary codes from one-weight codes over.

Abstract: We characterize the structures and properties of one-homogeneous weight linear codes over of type with one unique nonzero weight w 0. We introduce a distance-preserving Gray map from to . By the Gray map, we obtain a class of optimal p-ary one-Hamming weight linear codes from one-homogeneous weight linear codes over . We conclude by constructing some one-homogeneous codes over . [Copyright &y& Elsevier]