Best Known (12, 72, s)-Nets in Base 27
(12, 72, 96)-Net over F27 — Constructive and digital
Digital (12, 72, 96)-net over F27, using
- t-expansion [i] based on digital (11, 72, 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
(12, 72, 109)-Net over F27 — Digital
Digital (12, 72, 109)-net over F27, using
- net from sequence [i] based on digital (12, 108)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 12 and N(F) ≥ 109, using
(12, 72, 1246)-Net in Base 27 — Upper bound on s
There is no (12, 72, 1247)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 11 577706 531309 215361 682605 937436 140478 501103 567822 132283 080950 426885 256850 820983 827479 157767 550240 838581 > 2772 [i]