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	The characterization of binary constant weight codes meeting the bound of Fu and Shen
	Fu, Fang-Wei ; Xia, Shu-Tho
	2010-05-11 ; 2010-05-11
关键词	binary codes binary constant weight codes Grey-Rankin bound distance distribution quasi-symmetric designs QUASI-SYMMETRICAL DESIGNS Computer Science, Theory & Methods Mathematics, Applied
中文摘要	Fu and Shen gave an upper bound on binary constant weight codes. In this paper, we present a new proof for the bound of Fu and Shen and characterize binary constant weight codes meeting this bound. It is shown that binary constant weight codes meet the bound of Fu and Shen if and only if they are generated from certain symmetric designs and quasi-symmetric designs in combinatorial design theory. In particular, it turns out that the existence of binary codes with even length meeting the Grey-Rankin bound is equivalent to the existence of certain binary constant weight codes meeting the bound of Fu and Shen. Furthermore, some examples are listed to illustrate these results. Finally, we obtain a new upper bound on binary constant weight codes which improves on the bound of Fu and Shen in certain case.
语种	英语 ; 英语
出版者	SPRINGER ; DORDRECHT ; VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/26309]
专题	清华大学
推荐引用方式 GB/T 7714	Fu, Fang-Wei,Xia, Shu-Tho. The characterization of binary constant weight codes meeting the bound of Fu and Shen[J],2010, 2010.
APA	Fu, Fang-Wei,&Xia, Shu-Tho.(2010).The characterization of binary constant weight codes meeting the bound of Fu and Shen..
MLA	Fu, Fang-Wei,et al."The characterization of binary constant weight codes meeting the bound of Fu and Shen".(2010).

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