Finite Projective Geometries and Classification of the Weight Hierarchies of Codes （I）
WenDeCHEN, TorleivKLφVE · Acta Scientiarum Naturalium Universitatis Sunyatseni · 2004
The weight hierarchy of a binary linear [n,κ] code C is the sequence (d1,d2,...,dκ), where dr is the smallest support of an r-dimensional subcode of C. The codes of dimension 4 are collected in classes and the possible weight hierarchies in each class is determined by finite projective geometries.The possible weight hierarchies in class A, B, C, D are determined in Part (Ⅰ). The possible weight hierarchies in class E, F, G, H, I are determined in Part (Ⅱ).