Best Known (8, 8+55, s)-Nets in Base 27
(8, 8+55, 84)-Net over F27 — Constructive and digital
Digital (8, 63, 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, 8+55, 92)-Net over F27 — Digital
Digital (8, 63, 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, 8+55, 799)-Net in Base 27 — Upper bound on s
There is no (8, 63, 800)-net in base 27, because
- 1 times m-reduction [i] would yield (8, 62, 800)-net in base 27, but
- the generalized Rao bound for nets shows that 27m ≥ 56745 098777 657590 545642 841901 872467 701140 166560 991695 059770 402274 947003 035212 312769 679233 > 2762 [i]