The construction of LDPC codes based on the subspaces of singular linear space over finite field

Let 𝔽q be a finite field with q elements, where q is a prime power. 𝔽q(n+l) denotes the (n + l)-dimensional row linear space over 𝔽q. In this paper, we construct a series of LDPC codes based on the subspaces of singular linear space over 𝔽q, and calculate their parameters.