Best Known (19−10, 19, s)-Nets in Base 5
(19−10, 19, 26)-Net over F5 — Constructive and digital
Digital (9, 19, 26)-net over F5, using
- net from sequence [i] based on digital (9, 25)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 9 and N(F) ≥ 26, using
(19−10, 19, 32)-Net over F5 — Digital
Digital (9, 19, 32)-net over F5, using
(19−10, 19, 291)-Net in Base 5 — Upper bound on s
There is no (9, 19, 292)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 19 141055 119377 > 519 [i]