Best Known (184−60, 184, s)-Nets in Base 3
(184−60, 184, 162)-Net over F3 — Constructive and digital
Digital (124, 184, 162)-net over F3, using
- trace code for nets [i] based on digital (32, 92, 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
(184−60, 184, 318)-Net over F3 — Digital
Digital (124, 184, 318)-net over F3, using
(184−60, 184, 5053)-Net in Base 3 — Upper bound on s
There is no (124, 184, 5054)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 6193 581496 446059 641268 931466 144839 412778 776171 239112 901643 180248 091071 222421 343973 859541 > 3184 [i]