Second Support Weight Distribution of Regular LDPC Code Ensembles

Takayuki Itsui, Kenta Kasai, Ryoji Ikegaya, Tomoharu Shibuya, Kohichi Sakaniwa

Abstract: The support weight distribution of a code is the number of unique subspaces of the code with specified dimension and support weight. In this paper, we formulate the average second support weight distribution and its asymptotic exponent of regular LDPC code ensembles