Best Known (16, 16+40, s)-Nets in Base 25
(16, 16+40, 126)-Net over F25 — Constructive and digital
Digital (16, 56, 126)-net over F25, using
- t-expansion [i] based on digital (10, 56, 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+40, 150)-Net over F25 — Digital
Digital (16, 56, 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+40, 2829)-Net in Base 25 — Upper bound on s
There is no (16, 56, 2830)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 1 929566 147468 017540 558494 289494 016647 652735 905522 343733 238722 584300 649872 265665 > 2556 [i]