Best Known (61−50, 61, s)-Nets in Base 27
(61−50, 61, 96)-Net over F27 — Constructive and digital
Digital (11, 61, 96)-net over F27, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
(61−50, 61, 100)-Net over F27 — Digital
Digital (11, 61, 100)-net over F27, using
- net from sequence [i] based on digital (11, 99)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 100, using
(61−50, 61, 1203)-Net in Base 27 — Upper bound on s
There is no (11, 61, 1204)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 2066 957116 488942 420048 780409 101240 934986 848408 731047 779553 833406 988881 298669 255336 332105 > 2761 [i]