Best Known (128, 128+58, s)-Nets in Base 3
(128, 128+58, 192)-Net over F3 — Constructive and digital
Digital (128, 186, 192)-net over F3, using
- trace code for nets [i] based on digital (4, 62, 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
(128, 128+58, 368)-Net over F3 — Digital
Digital (128, 186, 368)-net over F3, using
(128, 128+58, 6674)-Net in Base 3 — Upper bound on s
There is no (128, 186, 6675)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 55716 384494 578649 533320 361358 875777 822611 459665 013678 696172 200776 400008 578670 160678 008495 > 3186 [i]