Best Known (181−50, 181, s)-Nets in Base 3
(181−50, 181, 282)-Net over F3 — Constructive and digital
Digital (131, 181, 282)-net over F3, using
- 31 times duplication [i] based on digital (130, 180, 282)-net over F3, using
- trace code for nets [i] based on digital (10, 60, 94)-net over F27, using
- net from sequence [i] based on digital (10, 93)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- net from sequence [i] based on digital (10, 93)-sequence over F27, using
- trace code for nets [i] based on digital (10, 60, 94)-net over F27, using
(181−50, 181, 538)-Net over F3 — Digital
Digital (131, 181, 538)-net over F3, using
(181−50, 181, 14461)-Net in Base 3 — Upper bound on s
There is no (131, 181, 14462)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 228 653581 307580 516109 756852 578257 620317 707150 804259 155522 736438 662861 080849 162449 663309 > 3181 [i]