Best Known (88, 158, s)-Nets in Base 3
(88, 158, 80)-Net over F3 — Constructive and digital
Digital (88, 158, 80)-net over F3, using
- 2 times m-reduction [i] based on digital (88, 160, 80)-net over F3, using
- trace code for nets [i] based on digital (8, 80, 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
- trace code for nets [i] based on digital (8, 80, 40)-net over F9, using
(88, 158, 115)-Net over F3 — Digital
Digital (88, 158, 115)-net over F3, using
(88, 158, 957)-Net in Base 3 — Upper bound on s
There is no (88, 158, 958)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 2511 044135 901413 538790 176471 925162 651357 036421 677300 279615 857521 408485 135809 > 3158 [i]