Best Known (51−42, 51, s)-Nets in Base 27
(51−42, 51, 88)-Net over F27 — Constructive and digital
Digital (9, 51, 88)-net over F27, using
- net from sequence [i] based on digital (9, 87)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88, using
(51−42, 51, 99)-Net over F27 — Digital
Digital (9, 51, 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
(51−42, 51, 988)-Net in Base 27 — Upper bound on s
There is no (9, 51, 989)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 10 094831 155376 528630 569267 983900 578436 950959 012236 623087 089627 410806 521635 > 2751 [i]