Best Known (16, 16+42, s)-Nets in Base 25
(16, 16+42, 126)-Net over F25 — Constructive and digital
Digital (16, 58, 126)-net over F25, using
- t-expansion [i] based on digital (10, 58, 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
(16, 16+42, 150)-Net over F25 — Digital
Digital (16, 58, 150)-net over F25, using
- net from sequence [i] based on digital (16, 149)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 16 and N(F) ≥ 150, using
(16, 16+42, 2614)-Net in Base 25 — Upper bound on s
There is no (16, 58, 2615)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 1204 511381 471962 013928 152355 206391 304747 931798 576016 524333 751968 542563 384864 763465 > 2558 [i]