Best Known (84, 84+66, s)-Nets in Base 3
(84, 84+66, 80)-Net over F3 — Constructive and digital
Digital (84, 150, 80)-net over F3, using
- 2 times m-reduction [i] based on digital (84, 152, 80)-net over F3, using
- trace code for nets [i] based on digital (8, 76, 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, 76, 40)-net over F9, using
(84, 84+66, 112)-Net over F3 — Digital
Digital (84, 150, 112)-net over F3, using
(84, 84+66, 938)-Net in Base 3 — Upper bound on s
There is no (84, 150, 939)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 375261 959391 105241 985949 004096 079213 201012 045777 081485 695028 906217 961495 > 3150 [i]