The Weight Distribution Of A Class Of Codes

Communication plays an important role in human's producing life. In 1948, Americanapplication mathematician published"A mathematical theory of communication", which de-clared the emergence of a fully new branch of applied mathematics-Information theory andcoding theory. In coding theory, it is important to determine the weight distribution of codes.where u and v are not conjugates of each other in GF(r), mu(x) and m_v(x) are the minimalpolynomials of u and v over GF(q) respectively, h₁ = mu(x), h₂ = m_v(x), T₁ is the tracefunctions from GF(r) to GF(q^h₁), T₂ is the trace functions from GF(r) to GF(q^h₂).In this paper, the weight distributions of C(u, v, q, m) are settled for a few cases.