Best Known (23, 102, s)-Nets in Base 27
(23, 102, 114)-Net over F27 — Constructive and digital
Digital (23, 102, 114)-net over F27, using
- net from sequence [i] based on digital (23, 113)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 23 and N(F) ≥ 114, using
(23, 102, 163)-Net over F27 — Digital
Digital (23, 102, 163)-net over F27, using
- t-expansion [i] based on digital (21, 102, 163)-net over F27, using
- net from sequence [i] based on digital (21, 162)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 21 and N(F) ≥ 163, using
- net from sequence [i] based on digital (21, 162)-sequence over F27, using
(23, 102, 2994)-Net in Base 27 — Upper bound on s
There is no (23, 102, 2995)-net in base 27, because
- 1 times m-reduction [i] would yield (23, 101, 2995)-net in base 27, but
- the generalized Rao bound for nets shows that 27m ≥ 3 708656 560666 082920 175924 192276 581404 043939 816508 924682 370013 244624 263658 753213 655751 357969 395985 698427 519877 006678 465616 323972 778025 617607 568379 > 27101 [i]