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	The Weight Distributions of Cyclic Codes and Elliptic Curves
	Wang, Baocheng ; Tang, Chunming ; Qi, Yanfeng ; Yang, Yixian ; Xu, Maozhi
	2012
关键词	Cyclic codes elliptic curves Gaussian periods linear codes weight distribution 2 ZEROS PERIOD POLYNOMIALS NONLINEAR FUNCTIONS SEQUENCES SUMS
英文摘要	Cyclic codes with two zeros and their dual codes as a practically and theoretically interesting class of linear codes have been studied for many years and find many applications. The determination of the weight distributions of such codes is an open problem. Generally, the weight distributions of cyclic codes are difficult to determine. Utilizing a class of elliptic curves, this paper determines the weight distributions of dual codes of q-ary cyclic codes with two zeros for a few more cases, where q is an odd prime power.; Computer Science, Information Systems; Engineering, Electrical & Electronic; SCI(E); EI; 20; ARTICLE; 12; 7253-7259; 58
语种	英语
出处	EI ; SCI
出版者	ieee transactions on information theory
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/228941]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wang, Baocheng,Tang, Chunming,Qi, Yanfeng,et al. The Weight Distributions of Cyclic Codes and Elliptic Curves. 2012-01-01.

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