Key polynomials over valued fields

FUZZY HYPERVECTOR SPACES OVER VALUED FIELDS

In this note we first redefine the notion of a fuzzy hypervectorspace (see [1]) and then introduce some further concepts of fuzzy hypervectorspaces, such as fuzzy convex and balance fuzzy subsets in fuzzy hypervectorspaces over valued fields. Finally, we briefly discuss on the convex (balanced)hull of a given fuzzy set of a hypervector space.

Public Key Cryptography Using Permutation P-polynomials over Finite Fields

In this paper we propose an efficient multivariate public key cryptosystem based on permutation p-polynomials over finite fields. We first characterize a class of permutation ppolynomials over finite fields Fqm and then construct a trapdoor function using this class of permutation p-polynomials. The complexity of encryption in our public key cryptosystem is O(m) multiplication which is equivale...

fuzzy hypervector spaces over valued fields

in this note we first redefine the notion of a fuzzy hypervectorspace (see [1]) and then introduce some further concepts of fuzzy hypervectorspaces, such as fuzzy convex and balance fuzzy subsets in fuzzy hypervectorspaces over valued fields. finally, we briefly discuss on the convex (balanced)hull of a given fuzzy set of a hypervector space.

Irreducible Polynomials over Finite Fields

As we will see, modular arithmetic aids in testing the irreducibility of polynomials and even in completely factoring polynomials in Z[x]. If we expect a polynomial f(x) is irreducible, for example, it is not unreasonable to try to find a prime p such that f(x) is irreducible modulo p. If we can find such a prime p and p does not divide the leading coefficient of f(x), then f(x) is irreducible ...

Factoring Polynomials over Local Fields