Modular arithmetic, even when disguised as a rounding problem, can be just as simple, if not simpler. The technique discussed here works for any constant N , delivers solutions even when x has 32 or ...

This study proposes modular arithmetic erasure channels (MAECs), a novel class of erasure-like channels with an input alphabet that need not be binary. This class contains the binary erasure channel ...

A collection of functions for working modular arithmetic, polynomials over finite fields, and related things. Implements factorization of 64 bit numbers using trial division, Pollard's Rho algorithm ...

The cipher utilizes modular arithmetic for secure message encryption and decryption. While the example uses small prime numbers for simplicity, real-world applications would involve much larger primes ...

This chapter presents a rigorous treatment of modular arithmetic. This leads into linear algebra, which is important for its applicability to coding, especially the class of linear codes. The chapter ...

This issue of Students Explorations in Mathematics introduces students to modular arithmetic and its applications. This activity will help develop students’ problem-solving strategies and provide ...

The modular arithmetic coprocessor must have at least 6 registers (4 if only encryption is implemented), each of length greater or equal than 16 bytes each. On the other hand, the coprocessor shall be ...