Error-correcting codes based on partial linear maps of finite-dimensional vector spaces

Junli Liu (), Wei Jiang and Xuedong Zhang
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Junli Liu: Langfang Normal University
Wei Jiang: Langfang Normal University
Xuedong Zhang: Langfang Normal University

Journal of Combinatorial Optimization, 2022, vol. 44, issue 3, No 1, 1377-1386

Abstract: Abstract The determination of bounds on the size of codes with given minimum distance is an important problem in the coding theory. In this paper, we construct codes based on partial linear maps of finite-dimensional vector spaces, define the measure of distance via rank function, and present several upper bounds and lower bounds on the size of these codes.

Keywords: Error-correcting code; Partial linear map; Measure of distance; Bound; 94B65; 94B60 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10878-022-00895-6

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