The values and the number of occurences of each value of Cd(t) for several new values of d are determined for several different periods of period pn − 1.Expand

The (weak) regularity of the new as well as of known monomial bent functions is discussed, the first example of a not weakly regular bent function is given and some criteria for an arbitrary quadratic function to be bent are proven.Expand

A well-rounded treatment of known families of almost difference sets is given, relations between some difference sets and some almost difference Sets are established, and the numerical multiplier group of some families ofalmost difference sets are determined.Expand

In this paper we first introduce a new generalized cyclotomy of order 2 with respect tope11···pett, then we calculate the new cyclotomic numbers of order 2. Some applications of the new cyclotomy in… Expand

In this correspondence, several classes of binary sequences with three-level autocorrelation are described, based on cyclic almost difference sets, which have optimum autOCorrelation.Expand

This correspondence investigates the minimum distance d(q,j) of the code in an algebraic way and proves that the code is invariant under a doubly transitive group of "affine" permutations.Expand

Several new families of binary sequences of period N with optimal three-level autocorrelation, where N/spl equiv/2 (mod 4) is given, either balanced or almost balanced.Expand

Almost perfect nonlinearmonomials, and a number of other monomials over GF(3m) are used to construct optimal ternary cyclic codes with the same parameters.Expand

The filter generator is an important building block in many stream ciphers. The generator consists of a linear feedback shift register of length n that generates an m-sequence of period 2n-1 filtered… Expand