Best Known (23, 79, s)-Nets in Base 27
(23, 79, 114)-Net over F27 — Constructive and digital
Digital (23, 79, 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, 79, 116)-Net in Base 27 — Constructive
(23, 79, 116)-net in base 27, using
- 5 times m-reduction [i] based on (23, 84, 116)-net in base 27, using
- base change [i] based on digital (2, 63, 116)-net over F81, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- base change [i] based on digital (2, 63, 116)-net over F81, using
(23, 79, 163)-Net over F27 — Digital
Digital (23, 79, 163)-net over F27, using
- t-expansion [i] based on digital (21, 79, 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, 79, 4733)-Net in Base 27 — Upper bound on s
There is no (23, 79, 4734)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 119912 532174 732845 873002 491638 179168 391048 078410 181215 859325 451116 827574 365232 002168 522426 290916 225293 989831 073913 > 2779 [i]