3维11元线性码的重量谱

Weight Hierarchies of 11-ray Linear Codes of Dimension 3

Chen,Klφve利用有限射影几何的方法,提出了四个有效的结构,确定了3维q元线性码的几乎所有重量谱.本文将结构4应用于不满足链条件的3维11元线性码,还剩13类未知序列;并运用有限射影几何的方法,提出了一种新的交点赋零结构,最终确定了这13类未知序列对应的重量谱,从而得到了不满足链条件的3维11元线性码全部可能的重量谱.

Chen and Klφve proposed four effective Constructions which determined almost all weight hierarchies of[n,3;q]codes by finite projective geometry method.In this article we apply construction（4） to the 11-ary non-chain linear codes of dimension 3,and 13 classes of sequences are still unknown.Then by using the projective method,we introduce a new construction that nodal points are zero assigned,solve the unknown sequences,and finally determine all possible hierarchies of non-chain[n,3;11]codes.