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arXiv · 2306.06422

The Weight Distributions of Two Classes of Linear Codes From Perfect Nonlinear Functions

Huawei Wu·Jing Yang·Keqin Feng
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Abstract

In this paper, we employ general results on the value distributions of perfect nonlinear functions from $\mathbb{F}_{p^m}$ 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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Huawei Wu, Jing Yang, Keqin Feng. 2023-06-10. The Weight Distributions of Two Classes of Linear Codes From Perfect Nonlinear Functions. https://doi.org/10.1109/tit.2023.3348228

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