Best Known (60−51, 60, s)-Nets in Base 27
(60−51, 60, 88)-Net over F27 — Constructive and digital
Digital (9, 60, 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
(60−51, 60, 99)-Net over F27 — Digital
Digital (9, 60, 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
(60−51, 60, 921)-Net in Base 27 — Upper bound on s
There is no (9, 60, 922)-net in base 27, because
- 1 times m-reduction [i] would yield (9, 59, 922)-net in base 27, but
- the generalized Rao bound for nets shows that 27m ≥ 2 838318 793858 807732 827523 919944 300274 174947 455560 480010 788313 424248 244716 627580 130613 > 2759 [i]