Wen Feng QI,Xuan Yong ZHU
Let Ω be the Teichlnuller represelltative set of Galois ring GR(2~d,r), then for each sequence a over GR(2~d,r), there exists a unique level decomposition , where a-i is a sequence over Ω and can be regarded as a sequence over the finite field F-(2~r) naturrally. Let f(x) be a strongly primitive polynomial over GR(2~d,r), G(f(x)) the set of sequences generated by f(x) over GR(2~d,r) and a polynomial of d -- 1 variables over F-(2~r). Set, then the compression mapping is injectiveness, that is, a = b if and only if for all a, b ∈ G(f(x)).