Best Known (151, 215, s)-Nets in Base 3
(151, 215, 246)-Net over F3 — Constructive and digital
Digital (151, 215, 246)-net over F3, using
- 1 times m-reduction [i] based on digital (151, 216, 246)-net over F3, using
- trace code for nets [i] based on digital (7, 72, 82)-net over F27, using
- net from sequence [i] based on digital (7, 81)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, using
- net from sequence [i] based on digital (7, 81)-sequence over F27, using
- trace code for nets [i] based on digital (7, 72, 82)-net over F27, using
(151, 215, 484)-Net over F3 — Digital
Digital (151, 215, 484)-net over F3, using
(151, 215, 10237)-Net in Base 3 — Upper bound on s
There is no (151, 215, 10238)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 3 822180 101811 458076 823513 041961 549832 594777 381676 980594 221357 623927 117949 705534 377167 699442 827635 066689 > 3215 [i]