Best Known (235−70, 235, s)-Nets in Base 3
(235−70, 235, 252)-Net over F3 — Constructive and digital
Digital (165, 235, 252)-net over F3, using
- 31 times duplication [i] based on digital (164, 234, 252)-net over F3, using
- trace code for nets [i] based on digital (8, 78, 84)-net over F27, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 8 and N(F) ≥ 84, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
- trace code for nets [i] based on digital (8, 78, 84)-net over F27, using
(235−70, 235, 522)-Net over F3 — Digital
Digital (165, 235, 522)-net over F3, using
(235−70, 235, 11076)-Net in Base 3 — Upper bound on s
There is no (165, 235, 11077)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 13298 426602 664442 752598 168224 261721 945568 780904 802927 906025 571225 309989 957176 214425 330569 537664 975500 935612 620651 > 3235 [i]