Generalized Kasami Sequences: The Large Set
| dc.creator | Zeng, Xiangyong | |
| dc.creator | Liu, Qingchong | |
| dc.creator | Hu, Lei | |
| dc.date | 2005-11-14 | |
| dc.date.accessioned | 2026-07-07T08:15:44Z | |
| dc.date.available | 2026-07-07T08:15:44Z | |
| dc.description | In this paper new binary sequence families $\mathcal{F}^k$ of period $2^n-1$ are constructed for even $n$ and any $k$ with ${\rm gcd}(k,n)=2$ if $n/2$ is odd or ${\rm gcd}(k,n)=1$ if $n/2$ is even. The distribution of their correlation values is completely determined. These families have maximum correlation $2^{n/2+1}+1$ and family size $2^{3n/2}+2^{n/2}$ for odd $n/2$ or $2^{3n/2}+2^{n/2}-1$ for even $n/2$. The construction of the large set of Kasami sequences which is exactly the $\mathcal{F}^{k}$ with $k=n/2+1$ is generalized. | |
| dc.description | 30 pages | |
| dc.identifier | https://arxiv.org/abs/cs/0511046 | |
| dc.identifier | http://arxiv.org/abs/cs/0511046 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/133546 | |
| dc.subject | Information Theory | |
| dc.subject | Cryptography and Security | |
| dc.title | Generalized Kasami Sequences: The Large Set | |
| dc.type | text |