This project includes an implementation of the Chinese Remainder Theorem and related algorithms. These algorithms include the Extended Euclidean Algorithm and Modular Inverse calculation. This ...
If GCD(a,b) = 1, then for any remainder ra modulo a and any remainder rb modulo b there exists integer n, such that n = ra (mod a) and n = ra(mod b). If n1 and n2 are ...
Abstract: The codes over rational integer residue rings are called integer codes. In this paper, we give a necessary and sufficient condition concerning the generator matrices when integer codes are ...
Abstract: In this paper, we propose a novel method for masked comparison using register rotation technique without masking conversions. In key encapsulation mechanisms (KEMs), ciphertext comparison is ...
We show the intimate relationship between McNaughton Theorem and the Chinese Remaindner Theorem for MV-algebras. We develop a very short and simple proof of McNaughton Theorem. The arguing is ...
https://doi.org/10.4169/college.math.j.48.2.82 https://www.jstor.org/stable/10.4169/college.math.j.48.2.82 We present an analog clock with five hands that illustrates ...