Further Results on the Distinctness of Decimations of -Sequences

Let alowbar be an l-sequence generated by a feedback-with-carry shift register with connection integer p^e, where p is an odd prime and eges1. Goresky and Klapper conjectured that when p^e notin{5,9,11,13}, all decimations of alowbar are cyclically distinct. When e=1 and p>13, they showed that the set of distinct decimations is large and, in some cases, all decimations are distinct. In this article, we further show that when eges2 and p^ene9, all decimations of alowbar are also cyclically distinct