Best Known (30−20, 30, s)-Nets in Base 25
(30−20, 30, 126)-Net over F25 — Constructive and digital
Digital (10, 30, 126)-net over F25, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
(30−20, 30, 2943)-Net in Base 25 — Upper bound on s
There is no (10, 30, 2944)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 868903 106321 825489 700448 115231 997965 432833 > 2530 [i]