Best Known (45−34, 45, s)-Nets in Base 25
(45−34, 45, 126)-Net over F25 — Constructive and digital
Digital (11, 45, 126)-net over F25, using
- t-expansion [i] based on digital (10, 45, 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
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
(45−34, 45, 1491)-Net in Base 25 — Upper bound on s
There is no (11, 45, 1492)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 811 897069 323124 234490 989649 163554 862907 958252 593950 817411 206625 > 2545 [i]