At most three-weight binary linear codes from generalized Moisio's exponential sums
At most three-weight binary linear codes from generalized Moisio's exponential sums
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来自广义 Moisio 指数和的至多三权重二进制线性码
DOI：
10.1007/s10623-018-00595-5
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
Shi Xueying
中科院分区：
文献类型：
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作者：
Wu Yansheng;Yue Qin;Shi Xueying
在本文中，我们评估了两类新的指数和，它们被视为广义Moisio的指数和，与Heng和Yue（IEEE Commun Lett 19：1488-1491，2015）和Moisio（Finite Fields Appl 15：644-651，2009）的结果形成对比。作为应用，我们给出了两类具有两个或三个权的二元线性码。这些码可以用于秘密共享方案和认证码。
In this paper, we evaluate two classes of new exponential sums, which are viewed as generalized Moisio’s exponential sums in contrast to the results by Heng and Yue (IEEE Commun Lett 19:1488–1491, 2015) and Moisio (Finite Fields Appl 15:644–651, 2009). As applications, we present two classes of binary linear codes with two wights or three weights. These codes can be used in secret sharing schemes and authentication codes.