Fuzzy modular arithmetic for cryptographic schemes with applications for mobile security

Modular arithmetic is a key operation in modern cryptology. This paper presents a modified modular computation strategy to simplify processing of modular arithmetic for cryptographic applications. A novel technique called fuzzy modular arithmetic is presented. The impact of this technique on the implementation of modular computations is discussed in particular cases. The impact of the technique on system security for some cryptographic schemes is also shown. The technique could be employed in low complexity mobile security and electronic cash identification mechanisms. The proposed fuzzy arithmetic can be generalized to fit into many other real-world security applications.