Three-weight cyclic codes and their weight distributions

Three-weight cyclic codes and their weight distributions
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DOI:
10.1016/j.disc.2015.09.001
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发表时间:
2016-02
期刊:
Discret. Math.
影响因子:
--
通讯作者:
C. Ding;Chunlei Li;Nian Li;Zhengchun Zhou
C. Ding;Chunlei Li;Nian Li;Zhengchun Zhou
中科院分区:
其他
文献类型:
--
作者:
C. Ding;Chunlei Li;Nian Li;Zhengchun Zhou

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几十年来,循环码一直是数学和工程领域的重要课题。由于它们具有高效的编码和解码算法,它们已被广泛用于消费电子、数据传输技术、广播系统和计算机应用中。本文的目的是提供一个调查的三重量循环码和重量分布。如果有关于这些代码的验证的信息,也会提供。
Cyclic codes have been an important topic of both mathematics and engineering for decades. They have been widely used in consumer electronics, data transmission technologies, broadcast systems, and computer applications as they have efficient encoding and decoding algorithms. The objective of this paper is to provide a survey of three-weight cyclic codes and their weight distributions. Information about the duals of these codes is also given when it is available.