Best Known (156, 225, s)-Nets in Base 3
(156, 225, 228)-Net over F3 — Constructive and digital
Digital (156, 225, 228)-net over F3, using
- trace code for nets [i] based on digital (6, 75, 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
(156, 225, 458)-Net over F3 — Digital
Digital (156, 225, 458)-net over F3, using
(156, 225, 9381)-Net in Base 3 — Upper bound on s
There is no (156, 225, 9382)-net in base 3, because
- 1 times m-reduction [i] would yield (156, 224, 9382)-net in base 3, but
- the generalized Rao bound for nets shows that 3m ≥ 75067 593117 347225 400576 039167 463187 518560 377603 713895 911653 877953 110615 806771 448500 472660 818307 690203 666285 > 3224 [i]