Best Known (13, 13+46, s)-Nets in Base 25
(13, 13+46, 126)-Net over F25 — Constructive and digital
Digital (13, 59, 126)-net over F25, using
- t-expansion [i] based on digital (10, 59, 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
(13, 13+46, 1502)-Net in Base 25 — Upper bound on s
There is no (13, 59, 1503)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 30299 583451 593005 774996 762701 960244 824311 743305 833504 109685 195752 983405 595406 097625 > 2559 [i]