Best Known (8, 56, s)-Nets in Base 27
(8, 56, 84)-Net over F27 — Constructive and digital
Digital (8, 56, 84)-net over F27, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 8 and N(F) ≥ 84, using
(8, 56, 92)-Net over F27 — Digital
Digital (8, 56, 92)-net over F27, using
- net from sequence [i] based on digital (8, 91)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 8 and N(F) ≥ 92, using
(8, 56, 812)-Net in Base 27 — Upper bound on s
There is no (8, 56, 813)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 146 676191 740521 936695 756253 423187 079431 787448 402896 340218 030580 917535 593837 992161 > 2756 [i]