Best Known (204−62, 204, s)-Nets in Base 3
(204−62, 204, 228)-Net over F3 — Constructive and digital
Digital (142, 204, 228)-net over F3, using
- trace code for nets [i] based on digital (6, 68, 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
(204−62, 204, 432)-Net over F3 — Digital
Digital (142, 204, 432)-net over F3, using
(204−62, 204, 8535)-Net in Base 3 — Upper bound on s
There is no (142, 204, 8536)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 21 564674 949283 345396 090410 300373 587612 496039 747797 906048 466768 836348 070323 601555 476568 952522 015265 > 3204 [i]