| The parameter of some special linear codes — Period Distribution and Generalized Hamming Weights (Support Weights or Higher Weights)were studied in this paper, and it was departed by two section. In section one, the concept of Period Distribution was introduced and the Generalized Hamming Weights was studied in section two.In the first part of section one, the concept of linear codes and some basic properties was introduced and the concept of period distribution was given;In the second part, the Period Distribution of a kind of linear codes was studied by some important number theory functions and cyclical coset , finally the number of non periodic equivalence classes of q-ary BCH codes with design 5 was given. The results of F.W.Fu was generalized.In the studies of wire — tap channel of type two,Wei introduced a Generalized Hamming Weights and it becoming a topic problem around the world with its born, and it makes more leaner's interesting. In the first,the projective system was given in section two, and the equivalence between linear codes and projective was proofed. So we can use geometric language to describe linear codes. In the second, The concept of Finite Geometry and Projective system was introduced and the higher weights and higher weights spectrum of projective codes was studied, some results was abtain. In the last, The Generalized Hamming Weights of a projective code over was studied by some properties on the projective Variety, and the results of X.W.Wu was generalized. |
