Best Known (112−48, 112, s)-Nets in Base 3
(112−48, 112, 80)-Net over F3 — Constructive and digital
Digital (64, 112, 80)-net over F3, using
- trace code for nets [i] based on digital (8, 56, 40)-net over F9, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
(112−48, 112, 95)-Net over F3 — Digital
Digital (64, 112, 95)-net over F3, using
(112−48, 112, 802)-Net in Base 3 — Upper bound on s
There is no (64, 112, 803)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 276931 026036 328853 942331 289504 434218 435339 714294 141649 > 3112 [i]