DocumentCode
169444
Title
A matrix completion approach to linear index coding problem
Author
Esfahanizadeh, Homa ; Lahouti, Farshad ; Hassibi, Babak
Author_Institution
Sch. of Electr. & Comput. Eng., Univ. of Tehran, Tehran, Iran
fYear
2014
fDate
2-5 Nov. 2014
Firstpage
531
Lastpage
535
Abstract
In this paper, a general algorithm is proposed for rate analysis and code design of linear index coding problems. Specifically a solution for minimum rank matrix completion problem over finite fields representing the linear index coding problem is devised in order to find the optimum transmission rate given vector length and size of the field. The new approach can be applied to both scalar and vector linear index coding.
Keywords
linear codes; matrix algebra; code design; linear index coding problem; minimum rank matrix completion problem; rate analysis; Encoding; Galois fields; Generators; Indexes; Matrix converters; Receivers; Vectors; Index Coding; Minimum Rank Matrix Completion over Finite Fields;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory Workshop (ITW), 2014 IEEE
Conference_Location
Hobart, TAS
ISSN
1662-9019
Type
conf
DOI
10.1109/ITW.2014.6970888
Filename
6970888
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