Best Known (7, 17, s)-Nets in Base 25
(7, 17, 66)-Net over F25 — Constructive and digital
Digital (7, 17, 66)-net over F25, using
- t-expansion [i] based on digital (4, 17, 66)-net over F25, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
(7, 17, 95)-Net over F25 — Digital
Digital (7, 17, 95)-net over F25, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2517, 95, F25, 10) (dual of [95, 78, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(2517, 104, F25, 10) (dual of [104, 87, 11]-code), using
(7, 17, 6144)-Net in Base 25 — Upper bound on s
There is no (7, 17, 6145)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 582457 899544 380039 643897 > 2517 [i]