Arithmetic codes are error-correcting or detecting codes implemented by ordinary arithmetic operations. Arithmetic codes with large distance, and therefore, cap ...

In this work, we consider detection of errors in polynomial, dual, and normal bases arithmetic operations. Error detection is performed by recomputing with the ...

A C implementation of Niederreiter's algorithm for factoring polynomials over F 2 is described. The most time-consuming part of this algorithm, which consists of setting up and solving a certain ...

The same thing happens with the Pythagorean theorem, where in school, most examples end up solving out to Pythagorean triples, the small set of integer values that work cleanly into the Pythagorean ...