Best Known (156, 240, s)-Nets in Base 3
(156, 240, 162)-Net over F3 — Constructive and digital
Digital (156, 240, 162)-net over F3, using
- 8 times m-reduction [i] based on digital (156, 248, 162)-net over F3, using
- trace code for nets [i] based on digital (32, 124, 81)-net over F9, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- F4 from the tower of function fields by Bezerra and GarcÃa over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
- trace code for nets [i] based on digital (32, 124, 81)-net over F9, using
(156, 240, 322)-Net over F3 — Digital
Digital (156, 240, 322)-net over F3, using
(156, 240, 4355)-Net in Base 3 — Upper bound on s
There is no (156, 240, 4356)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 3 232603 662635 921616 770451 355618 898251 014800 990598 208809 860863 076510 109890 628875 037201 904067 543983 091952 327119 425209 > 3240 [i]