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The existence and synchronization properties of symmetric fix-free codes

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Abstract

Fix-free codes are a type of variable length codes with both prefix-free and suffix-free properties, and there are two types of fix-free codes: symmetric fix-free codes and asymmetric fix-free codes. In this paper, we mainly discuss symmetric fix-free codes. First, the existence of symmetric fix-free codes is studied in detail, and some necessary and sufficient conditions are proposed. We also discuss the problem of achieving synchronization of symmetric fix-free codes, which is important in application. We then establish a scheme with synchronizing codewords to resolve this problem.

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Authors and Affiliations

  1. Chern Institute of Mathematics and LPMC, Nankai University, Tianjin, 300071, China

    Xuan Guang & FangWei Fu

  2. School of Mathematical Science, Nankai University, Tianjin, 300071, China

    Xuan Guang & LuSheng Chen

Authors
  1. Xuan Guang
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  2. FangWei Fu
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  3. LuSheng Chen
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Correspondence to FangWei Fu.

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Guang, X., Fu, F. & Chen, L. The existence and synchronization properties of symmetric fix-free codes. Sci. China Inf. Sci. 56, 1–9 (2013). https://doi.org/10.1007/s11432-012-4675-7

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  • DOI: https://doi.org/10.1007/s11432-012-4675-7

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