Best Known (114, 114+48, s)-Nets in Base 3
(114, 114+48, 228)-Net over F3 — Constructive and digital
Digital (114, 162, 228)-net over F3, using
- trace code for nets [i] based on digital (6, 54, 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
(114, 114+48, 386)-Net over F3 — Digital
Digital (114, 162, 386)-net over F3, using
(114, 114+48, 8121)-Net in Base 3 — Upper bound on s
There is no (114, 162, 8122)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 196790 420688 716343 066041 958595 597191 602652 683086 093862 827924 968743 002343 812977 > 3162 [i]