Best Known (43, 63, s)-Nets in Base 3
(43, 63, 114)-Net over F3 — Constructive and digital
Digital (43, 63, 114)-net over F3, using
- trace code for nets [i] based on digital (1, 21, 38)-net over F27, using
- net from sequence [i] based on digital (1, 37)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- net from sequence [i] based on digital (1, 37)-sequence over F27, using
(43, 63, 153)-Net over F3 — Digital
Digital (43, 63, 153)-net over F3, using
(43, 63, 2285)-Net in Base 3 — Upper bound on s
There is no (43, 63, 2286)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 1 146248 400062 332088 932117 369517 > 363 [i]