Best Known (66−56, 66, s)-Nets in Base 25
(66−56, 66, 126)-Net over F25 — Constructive and digital
Digital (10, 66, 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
(66−56, 66, 914)-Net in Base 25 — Upper bound on s
There is no (10, 66, 915)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 188 039718 818646 968691 303278 775723 337446 554391 813853 335336 383687 654290 473983 585675 416335 146209 > 2566 [i]