Best Known (13, 13+52, s)-Nets in Base 27
(13, 13+52, 96)-Net over F27 — Constructive and digital
Digital (13, 65, 96)-net over F27, using
- t-expansion [i] based on digital (11, 65, 96)-net over F27, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
(13, 13+52, 136)-Net over F27 — Digital
Digital (13, 65, 136)-net over F27, using
- net from sequence [i] based on digital (13, 135)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 13 and N(F) ≥ 136, using
(13, 13+52, 1523)-Net in Base 27 — Upper bound on s
There is no (13, 65, 1524)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 1098 209625 733774 548369 008432 792605 347577 564893 194811 852203 373379 933435 909188 324625 290743 662425 > 2765 [i]