Abstract

Linear orthomorphism has the well diffusibility, which can be used to design P-permutation in cryptography. This paper presents the definition of the linear orthomorphisms and orthomorphic matrices on the integer residue class ring, whose counting formulas have been obtained too. They have provided a theoretical basis to research the nature of orthomorphisms on the ring in the cryptography.

Keywords:

Linear orthomorphisms, orthomorphic matrix, the integer residue class ring, the orthomorphisms,

References

Competing interests

The authors have no competing interests.

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Copyright

The authors have no competing interests.