Best Known (49−36, 49, s)-Nets in Base 81
(49−36, 49, 224)-Net over F81 — Constructive and digital
Digital (13, 49, 224)-net over F81, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224, using
(49−36, 49, 298)-Net over F81 — Digital
Digital (13, 49, 298)-net over F81, using
- t-expansion [i] based on digital (12, 49, 298)-net over F81, using
- net from sequence [i] based on digital (12, 297)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 12 and N(F) ≥ 298, using
- net from sequence [i] based on digital (12, 297)-sequence over F81, using
(49−36, 49, 14794)-Net in Base 81 — Upper bound on s
There is no (13, 49, 14795)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 3280 623232 219333 262394 813095 790423 051073 279950 716019 631692 055399 439146 980928 612406 775771 256801 > 8149 [i]