Best Known (10−6, 10, s)-Nets in Base 25
(10−6, 10, 66)-Net over F25 — Constructive and digital
Digital (4, 10, 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
(10−6, 10, 77)-Net over F25 — Digital
Digital (4, 10, 77)-net over F25, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2510, 77, F25, 6) (dual of [77, 67, 7]-code), using
(10−6, 10, 3458)-Net in Base 25 — Upper bound on s
There is no (4, 10, 3459)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 95 446012 494169 > 2510 [i]