Bilinear forms and linear codes

CSpace

	Bilinear forms and linear codes
	Gao, Y
	2004
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	24 期号:1 页码:100-106
摘要	Abraham Lempel et al([1]) made a connection between linear codes and systems of bilinear forms over finite fields. In this correspondence, a new simple proof of a theorem in [1] is presented; in addition, the encoding process and the decoding procedure of RS codes are simplified via circulant matrices. Finally, the results show that the correspondence between bilinear forms and linear codes is not unique.
关键词	bilinear forms linear codes Reed-Solomon codes BCH codes circulant matrices
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000220435100012
出版者	KLUWER ACADEMIC PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/474
专题	中国科学院数学与系统科学研究院
通讯作者	Gao, Y
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Gao, Y. Bilinear forms and linear codes[J]. ACTA MATHEMATICA SCIENTIA,2004,24(1):100-106.
APA	Gao, Y.(2004).Bilinear forms and linear codes.ACTA MATHEMATICA SCIENTIA,24(1),100-106.
MLA	Gao, Y."Bilinear forms and linear codes".ACTA MATHEMATICA SCIENTIA 24.1(2004):100-106.