On the depth distribution of linear codes

	On the depth distribution of linear codes
	Luo, Y ; Fu, FW ; Wei, VKW
刊名	IEEE TRANSACTIONS ON INFORMATION THEORY
	2000-09-01
卷号	46 期号:6 页码:2197-2203
关键词	depth depth distribution depth-equivalence classes derivative linear codes Reed-Muller codes ternary Golay code
ISSN号	0018-9448
英文摘要	The depth distribution of a linear code was recently introduced by Etzion. In this correspondence, a number of basic and interesting properties for the depth of finite words and the depth distribution of linear codes are obtained. In addition, we study the enumeration problem of counting the number of linear subcodes with the prescribed depth constraints, and derive some explicit and interesting enumeration formulas. Furthermore, we determine the depth distribution of Reed-Muller code RM (m, r). Finally, we show that there are exactly nine depth-equivalence classes for the ternary [11, 6, 5] Golay codes.
WOS研究方向	Computer Science ; Engineering
语种	英语
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
WOS记录号	WOS:000089325800021
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/15032]
专题	中国科学院数学与系统科学研究院
通讯作者	Luo, Y
作者单位	1.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China 2.Chinese Univ Hong Kong, Dept Informat Engn, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Luo, Y,Fu, FW,Wei, VKW. On the depth distribution of linear codes[J]. IEEE TRANSACTIONS ON INFORMATION THEORY,2000,46(6):2197-2203.
APA	Luo, Y,Fu, FW,&Wei, VKW.(2000).On the depth distribution of linear codes.IEEE TRANSACTIONS ON INFORMATION THEORY,46(6),2197-2203.
MLA	Luo, Y,et al."On the depth distribution of linear codes".IEEE TRANSACTIONS ON INFORMATION THEORY 46.6(2000):2197-2203.