NDLI: On the RDLP and IRDLP of a linear code and a linear subcode

Content Provider	IEEE Xplore Digital Library
Author	Zhuojun Zhuang Yuan Luo Han Vinck, A.J. Bin Dai
Copyright Year	2011
Description	Author affiliation: Department of Computer Science and Engineering, Shanghai Jiao Tong University, China (Zhuojun Zhuang; Yuan Luo; Bin Dai) \|\| Institute for Experimental Mathematics, Duisburg-Essen University, Ellernstr. 29, 45326, Germany (Han Vinck, A.J.)
Abstract	For a linear code and a linear subcode, the relative dimension/length profile (RDLP), inverse relative dimension/ length profile (IRDLP) and relative length/dimension profile (RLDP) are three character sequences, which have been applied to the wiretap channel of type II with illegitimate parties and extended in the wiretap network II for the secrecy control of linear network coding. They also provide useful information to analyze the trellis complexity of a linear code. These concepts are two-code generalizations of the DLP, IDLP and LDP proposed by Forney, respectively. The Singleton bounds on RDLP, IRDLP and RLDP also extend Forney's bounds. In this paper, we introduce new relations with respect to RDLP and IRDLP. We show that the Singleton bounds on RDLP, IRDLP and RLDP can be derived directly from these relations. Some interesting duality properties of RDLP and IRDLP are also given.
Starting Page	975
Ending Page	978
File Size	96936
Page Count	4
File Format	PDF
ISBN	9781612843063
e-ISBN	9781612843070
DOI	10.1109/ICCT.2011.6158024
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-09-25
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Linear code Complexity theory Generators Educational institutions Hamming weight Network coding Laboratories
Content Type	Text
Resource Type	Article

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