2 research outputs found
Further Results on the Distinctness of Decimations of l-sequences
Let be an \textit{l}-sequence generated by a
feedback-with-carry shift register with connection integer , where is an odd prime and . Goresky and Klapper conjectured that when , all decimations of are cyclically
distinct. When and , they showed that the set of distinct
decimations is large and, in some cases, all deciamtions are distinct. In this
article, we further show that when and, all decimations
of are also cyclically distinct.Comment: submitted to IEEE-I
Exponential sums with sparse polynomials over finite fields
We obtain new bounds of exponential sums modulo a prime with sparse
polynomials . The bounds depend on
various greatest common divisors of exponents and their
differences. In particular, two new bounds for binomials are obtained,
improving previous results in broad ranges of parameters