Best Known (74−64, 74, s)-Nets in Base 27
(74−64, 74, 94)-Net over F27 — Constructive and digital
Digital (10, 74, 94)-net over F27, using
- net from sequence [i] based on digital (10, 93)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
(74−64, 74, 99)-Net over F27 — Digital
Digital (10, 74, 99)-net over F27, using
- t-expansion [i] based on digital (9, 74, 99)-net over F27, using
- net from sequence [i] based on digital (9, 98)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 99, using
- net from sequence [i] based on digital (9, 98)-sequence over F27, using
(74−64, 74, 987)-Net in Base 27 — Upper bound on s
There is no (10, 74, 988)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 8388 979311 519784 886335 519742 954905 830619 088692 092056 449189 189339 525369 372514 594567 682177 589730 673579 305217 > 2774 [i]