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arXiv · 1509.06242

A class of three-weight and five-weight linear codes

Fei Li·Qiuyan Wang·Dongdai Lin
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Abstract

Recently, linear codes with few weights have been widely studied, since they have applications in data storage systems, communication systems and consumer electronics. In this paper, we present a class of three-weight and five-weight linear codes over Fp, where p is an odd prime and Fp denotes a finite field with p elements. The weight distributions of the linear codes constructed in this paper are also settled. Moreover, the linear codes illustrated in the paper may have applications in secret sharing schemes.

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Fei Li, Qiuyan Wang, Dongdai Lin. 2015-09-21. A class of three-weight and five-weight linear codes. https://arxiv.org/abs/1509.06242

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