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
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;
Conference_Titel :
Information Theory Workshop (ITW), 2014 IEEE
Conference_Location :
Hobart, TAS
DOI :
10.1109/ITW.2014.6970888
