Chen, Wen Chen et Kløve, Torleiv, Finite Projective Geometries and Classification of the Weight Hierarchies of Codes (I), Acta mathematica Sinica. English series (Print) , 20(2), 2004, pp. 333-348
The weight hierarchy of a binary linear [n, k] code C is the sequence (d 1, d 2, . . . , d k ), where d r 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).