Best Known (65−48, 65, s)-Nets in Base 81
(65−48, 65, 370)-Net over F81 — Constructive and digital
Digital (17, 65, 370)-net over F81, using
- t-expansion [i] based on digital (16, 65, 370)-net over F81, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
(65−48, 65, 18063)-Net in Base 81 — Upper bound on s
There is no (17, 65, 18064)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 11266 623982 532864 148733 279715 364926 454798 452231 172761 199524 982696 652257 845296 623121 295400 271570 816759 916119 194120 928324 474881 > 8165 [i]