Best Known (144, 144+56, s)-Nets in Base 3
(144, 144+56, 282)-Net over F3 — Constructive and digital
Digital (144, 200, 282)-net over F3, using
- 1 times m-reduction [i] based on digital (144, 201, 282)-net over F3, using
- trace code for nets [i] based on digital (10, 67, 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, 67, 94)-net over F27, using
(144, 144+56, 558)-Net over F3 — Digital
Digital (144, 200, 558)-net over F3, using
(144, 144+56, 14426)-Net in Base 3 — Upper bound on s
There is no (144, 200, 14427)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 265929 632669 146112 477213 022794 690884 699933 610193 729029 350839 296733 636446 071319 286322 942985 263017 > 3200 [i]