Codes over algebraic integer rings of cyclotomic fields

doi:10.1109/TIT.2003.821983

CSpace

	Codes over algebraic integer rings of cyclotomic fields
	Fan, Y ; Gao, Y
	2004
发表期刊	IEEE TRANSACTIONS ON INFORMATION THEORY
ISSN	0018-9448
卷号	50 期号:1 页码:194-200
摘要	Regarding any finite field as a residue field of the algebraic integer ring of a cyclotomic field, we select a system of representatives in the ring with minimal Manhattan metric, and introduce a Mannheim weight on the finite field. The linear codes over the finite field with the Mannheim weight are discussed. A geometric method to compute the representatives in Gaussian integers is provided.
关键词	algebraic integer ring cyclotomic field Mannheim error correction Mannheim weight multidimensional signals
DOI	10.1109/TIT.2003.821983
语种	英语
WOS研究方向	Computer Science ; Engineering
WOS类目	Computer Science, Information Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000188371800016
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/891
专题	中国科学院数学与系统科学研究院
通讯作者	Fan, Y
作者单位	1.Wuhan Univ, Dept Math, Wuhan 430072, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Fan, Y,Gao, Y. Codes over algebraic integer rings of cyclotomic fields[J]. IEEE TRANSACTIONS ON INFORMATION THEORY,2004,50(1):194-200.
APA	Fan, Y,&Gao, Y.(2004).Codes over algebraic integer rings of cyclotomic fields.IEEE TRANSACTIONS ON INFORMATION THEORY,50(1),194-200.
MLA	Fan, Y,et al."Codes over algebraic integer rings of cyclotomic fields".IEEE TRANSACTIONS ON INFORMATION THEORY 50.1(2004):194-200.