The possibilities of R-codes for error correction in the system SRC are being intensively investigated. This is due to the simplicity of the structure of R-codes and good corrective capabilities, as well as the comparative simplicity of their construction for any given minimum code distance. It is important and interesting to consider the so-called linear codes (L-codes) in the SRC. In the literature, L-codes are described qualitatively rather than quantitatively. Until now no one has researched in depth the properties of systems of residual classes, whose bases are not mutually prime numbers. Such a system also has certain corrective properties, which makes it necessary to assess the possibility and feasibility of using such systems to improve the reliability of computer systems and components. Therefore, this important and promising issue is considered in this article.