New Generalized Cyclotomy and Its Applications
New Generalized Cyclotomy and Its Applications
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DOI：
10.1006/ffta.1998.0207
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发表时间：
1998-04
影响因子：
1
通讯作者：
C. Ding;T. Helleseth
中科院分区：
文献类型：
--
作者：
C. Ding;T. Helleseth
在本文中，我们首先与Toppe11··Pett引入了新的阶数2的广泛性环to术，然后我们计算了2阶的新的环形组数。还讨论了新的环to术在序列，密码学和编码理论中的某些应用。在本文的最后一部分中，我们介绍了更广泛的环数并指出其应用的主要动机。
In this paper we first introduce a new generalized cyclotomy of order 2 with respect tope11···pett, then we calculate the new cyclotomic numbers of order 2. Some applications of the new cyclotomy in sequences, cryptography, and coding theory are also discussed. In the last section of this paper, we introduce more generalized cyclotomies and point out their applications. The major motivation behind the new generalized cyclotomies is the construction of binary duadic codes.