Binary Linear Codes With Few Weights
Yanfeng Qi, Chunming Tang, Dongmei Huang · IEEE Communications Letters · 2015
Linear codes can be applied in secret sharing, authentication codes, association schemes, and strongly regular graphs. This letter generalizes the construction of linear codes by Ding et al. [9], uses more flexible construction method, and presents linear codes with few weights. These codes contain two-weight linear codes, one-weight linear codes, and three-weight linear codes. These codes contain some optimal codes meeting certain bound on linear codes.