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The Weight Distributions of Two Classes of Linear Codes From Perfect Nonlinear Functions (2306.06422v3)
Published 10 Jun 2023 in cs.IT and math.IT
Abstract: In this paper, we employ general results on the value distributions of perfect nonlinear functions from $\mathbb{F}{pm}$ to $\mathbb{F}_p$ together with a specific group action to give a unified approach to determining the weight distributions of two classes of linear codes over $\mathbb{F}_p$ constructed from perfect nonlinear functions, where $p$ is an odd prime number and $m\in\mathbb{N}+$.
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