Best Known (95−62, 95, s)-Nets in Base 27
(95−62, 95, 114)-Net over F27 — Constructive and digital
Digital (33, 95, 114)-net over F27, using
- t-expansion [i] based on digital (23, 95, 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
(95−62, 95, 172)-Net in Base 27 — Constructive
(33, 95, 172)-net in base 27, using
- 9 times m-reduction [i] based on (33, 104, 172)-net in base 27, using
- base change [i] based on digital (7, 78, 172)-net over F81, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
- base change [i] based on digital (7, 78, 172)-net over F81, using
(95−62, 95, 220)-Net over F27 — Digital
Digital (33, 95, 220)-net over F27, using
- net from sequence [i] based on digital (33, 219)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 33 and N(F) ≥ 220, using
(95−62, 95, 244)-Net in Base 27
(33, 95, 244)-net in base 27, using
- 1 times m-reduction [i] based on (33, 96, 244)-net in base 27, using
- base change [i] based on digital (9, 72, 244)-net over F81, using
- net from sequence [i] based on digital (9, 243)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 9 and N(F) ≥ 244, using
- net from sequence [i] based on digital (9, 243)-sequence over F81, using
- base change [i] based on digital (9, 72, 244)-net over F81, using
(95−62, 95, 11611)-Net in Base 27 — Upper bound on s
There is no (33, 95, 11612)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 9550 465935 454348 957102 752008 923915 873138 906878 148882 090902 935409 533713 944710 653034 984850 356194 728982 088176 166544 037050 810991 142425 652337 > 2795 [i]