Best Known (76−52, 76, s)-Nets in Base 27
(76−52, 76, 114)-Net over F27 — Constructive and digital
Digital (24, 76, 114)-net over F27, using
- t-expansion [i] based on digital (23, 76, 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
- net from sequence [i] based on digital (23, 113)-sequence over F27, using
(76−52, 76, 160)-Net in Base 27 — Constructive
(24, 76, 160)-net in base 27, using
- base change [i] based on digital (5, 57, 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
(76−52, 76, 208)-Net over F27 — Digital
Digital (24, 76, 208)-net over F27, using
- net from sequence [i] based on digital (24, 207)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 24 and N(F) ≥ 208, using
(76−52, 76, 6185)-Net in Base 27 — Upper bound on s
There is no (24, 76, 6186)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 6 094656 336796 076450 411698 285447 838144 558116 033834 844396 797723 394749 853182 163505 877977 732713 499544 556422 348533 > 2776 [i]