Best Known (66−58, 66, s)-Nets in Base 27
(66−58, 66, 84)-Net over F27 — Constructive and digital
Digital (8, 66, 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
(66−58, 66, 92)-Net over F27 — Digital
Digital (8, 66, 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
(66−58, 66, 797)-Net in Base 27 — Upper bound on s
There is no (8, 66, 798)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 30278 148978 030120 355367 256669 243762 535063 735560 049126 558269 386623 368153 559758 775977 794085 222517 > 2766 [i]