On the Relative Generalized Hamming Weights of Linear Codes and their Subcodes

We first present an equivalent definition of relative generalized Hamming weights of a linear code and its subcodes, and we develop a method using finite projective geometry. Making use of the equivalent definition and the projective-geometry method, all of the relative generalized Hamming weights of a 3-dimensional q-ary linear code and its subcodes will be determined. Key words. generalized Hamming weights, relative generalized Hamming weights, support weight, relative difference sequence AMS subject classification. 94B05 DOI. 10.1137/090770254

• Type: Journal
• Year: 2010
• Where: SIAMDM
• Authors: Zihui Liu, Jie Wang, Xin-Wen Wu
• Keywords: Equivalent Definition, Generalized Hamming, Generalized Hamming Weights, SIAMDM 2010