Best Known (36−26, 36, s)-Nets in Base 25
(36−26, 36, 126)-Net over F25 — Constructive and digital
Digital (10, 36, 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
(36−26, 36, 1749)-Net in Base 25 — Upper bound on s
There is no (10, 36, 1750)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 213 307814 127656 900185 943306 644747 952458 771108 779601 > 2536 [i]