Fibonacci Jacket Linear Network Codes

Author

Guo, Ying ; Chen, Zhigang

Author_Institution

Sch. of Inf. Sci. & Eng., Central South Univ., Changsha

fYear

2008

fDate

18-21 Nov. 2008

Firstpage

643

Lastpage

646

Abstract

Motivated by the elegant relationships of the row vectors of the Jacket matrix J_n and its inverse matrix J_n ^-1, which are both consisted of Fibonacci number sequence over the finite field GF(p), a novel network work code is constructed structurally with efficiency. The present network codes have advantages of eavesdropper-preventing and error-detecting ability, which are decided by the properly selected vectors from two respective matrices for the process of encoding secure messages.

Keywords

Fibonacci sequences; directed graphs; error correction codes; error detection codes; linear codes; matrix inversion; multicast communication; telecommunication security; Fibonacci Jacket linear network code; Fibonacci number sequence; Jacket matrix inverse; directed acyclic graph; eavesdropper prevention; error detection code; error-correction code; finite field; multicast network; secure message encoding; Communication networks; Computer networks; Decoding; Error correction; Error correction codes; Galois fields; Image coding; Information science; Routing; Vectors; Jacket Matrix; error-correction codes; linear network codes;

fLanguage

English

Publisher

ieee

Conference_Titel

Young Computer Scientists, 2008. ICYCS 2008. The 9th International Conference for

Conference_Location

Hunan

Print_ISBN

978-0-7695-3398-8

Electronic_ISBN

978-0-7695-3398-8

Type

conf

DOI

10.1109/ICYCS.2008.42

Filename

4709048