Best Known (96, 171, s)-Nets in Base 3
(96, 171, 80)-Net over F3 — Constructive and digital
Digital (96, 171, 80)-net over F3, using
- 5 times m-reduction [i] based on digital (96, 176, 80)-net over F3, using
- trace code for nets [i] based on digital (8, 88, 40)-net over F9, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- trace code for nets [i] based on digital (8, 88, 40)-net over F9, using
(96, 171, 126)-Net over F3 — Digital
Digital (96, 171, 126)-net over F3, using
(96, 171, 1104)-Net in Base 3 — Upper bound on s
There is no (96, 171, 1105)-net in base 3, because
- 1 times m-reduction [i] would yield (96, 170, 1105)-net in base 3, but
- the generalized Rao bound for nets shows that 3m ≥ 1315 942731 974278 726605 074686 075402 752513 902710 672767 107664 229442 021718 576972 212499 > 3170 [i]