Some combinatorial properties of solid codes

Haiyan Liu (), Yuqi Guo () and K. P. Shum ()
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Haiyan Liu: Yunnan University of Finance and Economics
Yuqi Guo: Lanzhou University
K. P. Shum: Southwest University

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 3, 932-944

Abstract: Abstract Solid codes can be used in information transmission over a noisy channel because they have remarkable synchronization and error-detecting capabilities in the presence of noise. In this paper, we focus on combinatoric properties of solid codes. We begin by characterizing solid codes by means of infix codes and unbordered words. Then, we discuss the decomposition of solid codes (in particular, the maximal solid codes). And finally, we investigate several properties of the products of the solid codes and some other kinds of codes. Our results given in this paper significantly enrich the theory of solid codes.

Keywords: Variable-length code; Infix code; Solid code; Decomposition of solid code; 68R15; 68Q70; 20M35 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s13226-021-00093-w

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