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arXiv · 1904.12112

Decision Procedure for the Existence of Two-Channel Prefix-Free Codes

Hoover H. F. Yin·Ka Hei Ng·Yu Ting Shing·Russell W. F. Lai·Xishi Wang
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Abstract

The Kraft inequality gives a necessary and sufficient condition for the existence of a single channel prefix-free code. However, the multichannel Kraft inequality does not imply the existence of a multichannel prefix-free code in general. It is natural to ask whatever there exists an efficient decision procedure for the existence of multichannel prefix-free codes. In this paper, we tackle the two-channel case of the above problem by relating it to a constrained rectangle packing problem. Although a general rectangle packing problem is NP-complete, the extra imposed constraints allow us to propose an algorithm which can solve the problem efficiently.

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Hoover H. F. Yin, Ka Hei Ng, Yu Ting Shing, Russell W. F. Lai, Xishi Wang. 2019-04-27. Decision Procedure for the Existence of Two-Channel Prefix-Free Codes. https://arxiv.org/abs/1904.12112

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