Best Known (76−64, 76, s)-Nets in Base 27
(76−64, 76, 96)-Net over F27 — Constructive and digital
Digital (12, 76, 96)-net over F27, using
- t-expansion [i] based on digital (11, 76, 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
(76−64, 76, 109)-Net over F27 — Digital
Digital (12, 76, 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
(76−64, 76, 1217)-Net in Base 27 — Upper bound on s
There is no (12, 76, 1218)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 6 147809 905366 220255 852929 293204 635139 921556 879731 868687 633720 252325 526859 143351 909564 997919 945361 457517 267265 > 2776 [i]