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The parameters of a family of linear codes (1903.03720v1)
Published 9 Mar 2019 in cs.IT and math.IT
Abstract: A large family of linear codes with flexible parameters from almost bent functions and perfect nonlinear functions are constructed and their parameters are determined. Some constructed linear codes and their related codes are optimal in the sense that they meet certain bounds on linear codes. Applications of these codes in secret sharing schemes and combinational designs are presented.