Best Known (60−26, 60, s)-Nets in Base 25
(60−26, 60, 252)-Net over F25 — Constructive and digital
Digital (34, 60, 252)-net over F25, using
- 2 times m-reduction [i] based on digital (34, 62, 252)-net over F25, using
- (u, u+v)-construction [i] based on
- digital (10, 24, 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
- digital (10, 38, 126)-net over F25, using
- net from sequence [i] based on digital (10, 125)-sequence over F25 (see above)
- digital (10, 24, 126)-net over F25, using
- (u, u+v)-construction [i] based on
(60−26, 60, 973)-Net over F25 — Digital
Digital (34, 60, 973)-net over F25, using
(60−26, 60, 668684)-Net in Base 25 — Upper bound on s
There is no (34, 60, 668685)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 752318 277764 823918 168030 531690 209507 981112 983236 019046 580292 763489 725649 318651 977305 > 2560 [i]