Best Known (6, 14, s)-Nets in Base 25
(6, 14, 78)-Net over F25 — Constructive and digital
Digital (6, 14, 78)-net over F25, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 2, 26)-net over F25, using
- digital (0, 4, 26)-net over F25, using
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using
- the rational function field F25(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
- digital (0, 8, 26)-net over F25, using
- net from sequence [i] based on digital (0, 25)-sequence over F25 (see above)
(6, 14, 103)-Net over F25 — Digital
Digital (6, 14, 103)-net over F25, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2514, 103, F25, 8) (dual of [103, 89, 9]-code), using
(6, 14, 7203)-Net in Base 25 — Upper bound on s
There is no (6, 14, 7204)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 37 267509 158063 389825 > 2514 [i]