Best Known (104−88, 104, s)-Nets in Base 27
(104−88, 104, 96)-Net over F27 — Constructive and digital
Digital (16, 104, 96)-net over F27, using
- t-expansion [i] based on digital (11, 104, 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
(104−88, 104, 144)-Net over F27 — Digital
Digital (16, 104, 144)-net over F27, using
- net from sequence [i] based on digital (16, 143)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 16 and N(F) ≥ 144, using
(104−88, 104, 1580)-Net in Base 27 — Upper bound on s
There is no (16, 104, 1581)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 73220 747887 435636 606799 751654 784763 188187 197920 523672 151143 003401 421532 786258 082685 630735 169180 247065 811913 617281 134994 089265 615225 004041 738022 996945 > 27104 [i]