On codes from hypergraphs. (Q1427432)

Based on hypergraph theory, the authors propose a new family of binary codes. This family of codes generalizes a previous construction of expander codes to \(t\)-uniform hypergraphs. After the introduction Section 2 defines hypergraph codes and gives some properties of them. Section 3 describes the decoding algorithm and introduces the main theorems. The following sections give the proofs of these theorems. Some open problems are presented in section 4.