Best Known (144−42, 144, s)-Nets in Base 3
(144−42, 144, 228)-Net over F3 — Constructive and digital
Digital (102, 144, 228)-net over F3, using
- trace code for nets [i] based on digital (6, 48, 76)-net over F27, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
(144−42, 144, 369)-Net over F3 — Digital
Digital (102, 144, 369)-net over F3, using
(144−42, 144, 8091)-Net in Base 3 — Upper bound on s
There is no (102, 144, 8092)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 507 587093 379800 825420 129959 101887 631344 282748 407292 177727 847215 339545 > 3144 [i]