Best Known (100, 100+44, s)-Nets in Base 3
(100, 100+44, 192)-Net over F3 — Constructive and digital
Digital (100, 144, 192)-net over F3, using
- trace code for nets [i] based on digital (4, 48, 64)-net over F27, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
(100, 100+44, 316)-Net over F3 — Digital
Digital (100, 144, 316)-net over F3, using
(100, 100+44, 5987)-Net in Base 3 — Upper bound on s
There is no (100, 144, 5988)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 508 493870 670222 565326 624904 532937 673779 424932 613861 694804 205308 753433 > 3144 [i]