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arXiv · 0903.4554

Fountain Codes and Invertible Matrices

Mikko Malinen
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Abstract

This paper deals with Fountain codes, and especially with their encoding matrices, which are required here to be invertible. A result is stated that an encoding matrix induces a permutation. Also, a result is that encoding matrices form a group with multiplication operation. An encoding is a transformation, which reduces the entropy of an initially high-entropy input vector. A special encoding matrix, with which the entropy reduction is more effective than with matrices created by the Ideal Soliton distribution is formed. Experimental results with entropy reduction are shown.

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Mikko Malinen. 2009-03-26. Fountain Codes and Invertible Matrices. https://arxiv.org/abs/0903.4554

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