Abstract: In this correspondence, the constructions and enumerations of all bent functions represented by a polynomial form of f(x)=/spl Sigma//sub i=1//sup n/2-1/c/sub i/Tr(x/sup 1+2(i)/)+c/sub ...

Abstract: In this correspondence, we construct some new quadratic bent functions in polynomial forms by using the theory of quadratic forms over finite fields. The results improve some previous work.

A criteria to identify precisely the primes of the form x^2 + ny^2 is described in a book by Cox. This repository computes that criteria. The main difficult thing this program must do is compute the ...

This is a preview. Log in through your library . Abstract Using Newton-type corrections, a simultaneous improvement of a complete set of approximate factors of arbitrary degree of a polynomial is ...

We investigate here the representability of integers as sums of triangular numbers, where the n-th triangular number is given by Tn = n(n+1)/2. In particular, we show ...

If \((x \pm h)\) is a factor of a polynomial, then the remainder will be zero. Conversely, if the remainder is zero, then \((x \pm h)\) is a factor. Often ...

A mathematician at Carnegie Mellon University has developed an easier way to solve quadratic equations. The mathematician hopes this method will help students avoid memorizing obtuse formulas. His ...