Generalized Hamming Weight of Algebraic Geometric Codes From Algebraic Curves y~q+y=x~(q~t+1)
Hu Wan · 2003
In this paper, we consider the cases on algebraic-geometric codes (geometric Goppa codes) from algebraic curves y q+y=x q t+1 over finite field F q 2t , and provide an upper bound on their generalized Hamming weights. Especially, exact results on the second generalized Hamming weights are given for the cases q t+1 +q≤m ≤n-q t+1 +q+1, where m is a parameter that governs the dimension of the codes. Furthermore, some open problems are presented.