Best Known (66−52, 66, s)-Nets in Base 81
(66−52, 66, 224)-Net over F81 — Constructive and digital
Digital (14, 66, 224)-net over F81, using
- t-expansion [i] based on digital (13, 66, 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
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
(66−52, 66, 298)-Net over F81 — Digital
Digital (14, 66, 298)-net over F81, using
- t-expansion [i] based on digital (12, 66, 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
(66−52, 66, 9209)-Net in Base 81 — Upper bound on s
There is no (14, 66, 9210)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 914491 192478 178277 728578 065736 623195 977879 015204 020975 135365 458425 185150 015820 485965 941870 727678 112638 263175 407266 167653 556801 > 8166 [i]