Best Known (78, 108, s)-Nets in Base 3
(78, 108, 228)-Net over F3 — Constructive and digital
Digital (78, 108, 228)-net over F3, using
- trace code for nets [i] based on digital (6, 36, 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
(78, 108, 353)-Net over F3 — Digital
Digital (78, 108, 353)-net over F3, using
(78, 108, 8735)-Net in Base 3 — Upper bound on s
There is no (78, 108, 8736)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 3384 043006 909505 231471 314074 573321 950044 299705 491841 > 3108 [i]