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arXiv · 2407.10051

The weight distributions of some linear codes derived from Kloosterman sums

Mengzhen Zhao·Yanxun Chang
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Abstract

Linear codes with few weights have applications in data storage systems, secret sharing schemes, and authentication codes. In this paper, some kinds of p-ary linear codes with few weights are constructed by use of the given de ning set, where p is a prime. Their weight distributions are determined based on Kloosterman sums over nite elds. In addition, some linear codes we given is minimal.

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Mengzhen Zhao, Yanxun Chang. 2024-07-14. The weight distributions of some linear codes derived from Kloosterman sums. https://arxiv.org/abs/2407.10051

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