Best Known (11, 11+64, s)-Nets in Base 25
(11, 11+64, 126)-Net over F25 — Constructive and digital
Digital (11, 75, 126)-net over F25, using
- t-expansion [i] based on digital (10, 75, 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
(11, 11+64, 990)-Net in Base 25 — Upper bound on s
There is no (11, 75, 991)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 714 746856 267043 084624 205387 462097 261955 416824 916609 027717 623796 375934 662134 636768 201601 037515 844742 110465 > 2575 [i]