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This article proposes a novel nonlinear network code in the GF(2~m)finite field.Different from previous linear network codes that linearly mix multiple input flows,the proposed nonlinear network code mixes input flows through both multiplication and exponentiation in the GF(2~m).Three relevant rules for selecting proper parameters for the proposed nonlinear network code are discussed,and the relationship between the power parameter m and the coding coefficient K is explored.Further analysis shows that the proposed nonlinear network code is equivalent to a linear network code with deterministic coefficients.
This article proposes a novel nonlinear network code in the GF (2 ~ m) finite field. The proposed nonlinear network code mixes input flows through both multiplication and exponentiation in the GF (2 ~ m). Thhree relevant rules for selecting proper parameters for the proposed nonlinear network code are discussed, and the relationship between the power parameter m and the coding coefficient K is explored. Future analysis shows that the proposed nonlinear network code is equivalent to a linear network code with deterministic coefficients.