Best Known (152, 152+76, s)-Nets in Base 3
(152, 152+76, 162)-Net over F3 — Constructive and digital
Digital (152, 228, 162)-net over F3, using
- 12 times m-reduction [i] based on digital (152, 240, 162)-net over F3, using
- trace code for nets [i] based on digital (32, 120, 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, 120, 81)-net over F9, using
(152, 152+76, 356)-Net over F3 — Digital
Digital (152, 228, 356)-net over F3, using
(152, 152+76, 5439)-Net in Base 3 — Upper bound on s
There is no (152, 228, 5440)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 6 115447 029485 432794 600734 476461 580436 057967 385074 988931 234379 799269 976986 623357 826809 523798 619060 069940 053889 > 3228 [i]