Best Known (156−46, 156, s)-Nets in Base 3
(156−46, 156, 228)-Net over F3 — Constructive and digital
Digital (110, 156, 228)-net over F3, using
- trace code for nets [i] based on digital (6, 52, 76)-net over F27, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
(156−46, 156, 380)-Net over F3 — Digital
Digital (110, 156, 380)-net over F3, using
(156−46, 156, 8097)-Net in Base 3 — Upper bound on s
There is no (110, 156, 8098)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 270 126487 666741 079541 563671 699997 692774 690526 974232 556038 048727 012295 889481 > 3156 [i]