Best Known (10, 10+38, s)-Nets in Base 25
(10, 10+38, 126)-Net over F25 — Constructive and digital
Digital (10, 48, 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
(10, 10+38, 1113)-Net in Base 25 — Upper bound on s
There is no (10, 48, 1114)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 12 641629 824520 102705 485241 955177 715469 199749 642691 271354 618248 513425 > 2548 [i]