Han, H., 2020. Enumeration and generation to linear orthomorphisms on I (n) . In: Yang, Y.; Mi, C.; Zhao, L., and Lam, S. (eds.), Global Topics and New Trends in Coastal Research: Port, Coastal and Ocean Engineering. Journal of Coastal Research, Special Issue No. 103, pp. 928–933. Coconut Creek (Florida), ISSN 0749-0208.

Linear orthomorphic permutations (orthomorphisms) of an integer residue class ring I (n) is studied to their structure and properties, and the definition of a linear orthomorphic matrix on the integer residue class ring I (n) is set up in detail. The counting formula and the generating algorithm of linear orthomorphic matrices are created. All of this can provide a theoretical basis for studying the properties and structures of linear orthomorphisms over the finite commutative ring I (n) in cryptography. We can design linear p-permutations in cryptography using the linear orthomorphisms because of their well diffusibility and perfect balance.