AN APPLICATION IN LINEAR CODES RELATING NUMERICAL SEQUENCES AND THE CASORATIAN MATRIX
DOI:
https://doi.org/10.34179/revisem.v11i1.23310Abstract
In this paper, the relationship between the matrix representation and a homogeneous linear recurrence sequence of order 2 is explored using the fundamental systems approach. Furthermore, using the presented relationship, an application in coding theory is introduced, considering the matrix representation as a generating matrix of a linear code, and the performance of the code is analyzed from the perspective of error correction.
Keywords: Recurrence Sequences, Fundamental System, Casoratian matrix, Linear Codes.
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Copyright (c) 2026 Lara Nicoletti Sotoma, Marcos Vinicius Pereira Spreafico, Elen Viviani Pereira Spreafico
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