Best Known (16, 43, s)-Nets in Base 27
(16, 43, 96)-Net over F27 — Constructive and digital
Digital (16, 43, 96)-net over F27, using
- t-expansion [i] based on digital (11, 43, 96)-net over F27, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
(16, 43, 144)-Net over F27 — Digital
Digital (16, 43, 144)-net over F27, using
- net from sequence [i] based on digital (16, 143)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 16 and N(F) ≥ 144, using
(16, 43, 160)-Net in Base 27 — Constructive
(16, 43, 160)-net in base 27, using
- 1 times m-reduction [i] based on (16, 44, 160)-net in base 27, using
- base change [i] based on digital (5, 33, 160)-net over F81, using
- net from sequence [i] based on digital (5, 159)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 160, using
- net from sequence [i] based on digital (5, 159)-sequence over F81, using
- base change [i] based on digital (5, 33, 160)-net over F81, using
(16, 43, 167)-Net in Base 27
(16, 43, 167)-net in base 27, using
- 1 times m-reduction [i] based on (16, 44, 167)-net in base 27, using
- base change [i] based on digital (5, 33, 167)-net over F81, using
- net from sequence [i] based on digital (5, 166)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 167, using
- net from sequence [i] based on digital (5, 166)-sequence over F81, using
- base change [i] based on digital (5, 33, 167)-net over F81, using
(16, 43, 9173)-Net in Base 27 — Upper bound on s
There is no (16, 43, 9174)-net in base 27, because
- 1 times m-reduction [i] would yield (16, 42, 9174)-net in base 27, but
- the generalized Rao bound for nets shows that 27m ≥ 1 311097 182002 412632 844468 358346 026855 892240 325166 119689 319813 > 2742 [i]