Further Results on the Distinctness of Decimations of l-sequences
| dc.creator | Xu, Hong | |
| dc.creator | Qi, Wen-Feng | |
| dc.date | 2006-01-09 | |
| dc.date.accessioned | 2026-07-07T06:57:53Z | |
| dc.date.available | 2026-07-07T06:57:53Z | |
| dc.description | Let $\underline{a}$ be an \textit{l}-sequence generated by a feedback-with-carry shift register with connection integer $q=p^{e}$, where $ p$ is an odd prime and $e\geq 1$. Goresky and Klapper conjectured that when $ p^{e}\notin \{5,9,11,13\}$, all decimations of $\underline{a}$ are cyclically distinct. When $e=1$ and $p>13$, 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 $e\geq 2$ and$ p^{e}\neq 9$, all decimations of $\underline{a}$ are also cyclically distinct. | |
| dc.description | submitted to IEEE-IT | |
| dc.identifier | https://arxiv.org/abs/cs/0601024 | |
| dc.identifier | http://arxiv.org/abs/cs/0601024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107143 | |
| dc.subject | Cryptography and Security | |
| dc.title | Further Results on the Distinctness of Decimations of l-sequences | |
| dc.type | text |