Best Known (26, 54, s)-Nets in Base 3
(26, 54, 36)-Net over F3 — Constructive and digital
Digital (26, 54, 36)-net over F3, using
- net from sequence [i] based on digital (26, 35)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using
(26, 54, 37)-Net over F3 — Digital
Digital (26, 54, 37)-net over F3, using
- net from sequence [i] based on digital (26, 36)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 25, N(F) = 36, and 1 place with degree 2 [i] based on function field F/F3 with g(F) = 25 and N(F) ≥ 36, using algebraic function fields over ℤ3 by Niederreiter/Xing [i]
(26, 54, 196)-Net in Base 3 — Upper bound on s
There is no (26, 54, 197)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 61 570531 190030 087269 758177 > 354 [i]