Best Known (94, 94+38, s)-Nets in Base 3
(94, 94+38, 228)-Net over F3 — Constructive and digital
Digital (94, 132, 228)-net over F3, using
- trace code for nets [i] based on digital (6, 44, 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
(94, 94+38, 361)-Net over F3 — Digital
Digital (94, 132, 361)-net over F3, using
(94, 94+38, 8164)-Net in Base 3 — Upper bound on s
There is no (94, 132, 8165)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 955 653194 899060 862210 460321 076234 052635 190495 009410 515366 355371 > 3132 [i]