Best Known (9, 49, s)-Nets in Base 81
(9, 49, 172)-Net over F81 — Constructive and digital
Digital (9, 49, 172)-net over F81, using
- t-expansion [i] based on digital (7, 49, 172)-net over F81, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
(9, 49, 244)-Net over F81 — Digital
Digital (9, 49, 244)-net over F81, using
- net from sequence [i] based on digital (9, 243)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 9 and N(F) ≥ 244, using
(9, 49, 4910)-Net in Base 81 — Upper bound on s
There is no (9, 49, 4911)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 3283 177181 771067 360046 537531 342298 550950 700629 235688 845648 994784 596224 288128 478527 024802 993601 > 8149 [i]