Weight Hierarchies of 11-ray Linear Codes of Dimension 3
WANG Zhenghong1, SHE Wei1, Chen Wende2
1. School of Mathematics and Statistics of South-central University for Nationalities, Wuhan 430074;2. Center of Information Security, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080
Chen and Klóve 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.