Best Known (50, 94, s)-Nets in Base 3
(50, 94, 56)-Net over F3 — Constructive and digital
Digital (50, 94, 56)-net over F3, using
- trace code for nets [i] based on digital (3, 47, 28)-net over F9, using
- net from sequence [i] based on digital (3, 27)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- net from sequence [i] based on digital (3, 27)-sequence over F9, using
(50, 94, 65)-Net over F3 — Digital
Digital (50, 94, 65)-net over F3, using
(50, 94, 473)-Net in Base 3 — Upper bound on s
There is no (50, 94, 474)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 716 959333 633327 718104 698875 516319 783585 594477 > 394 [i]