Best Known (12, 12+36, s)-Nets in Base 25
(12, 12+36, 126)-Net over F25 — Constructive and digital
Digital (12, 48, 126)-net over F25, using
- t-expansion [i] based on digital (10, 48, 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
(12, 12+36, 1672)-Net in Base 25 — Upper bound on s
There is no (12, 48, 1673)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 12 689237 857028 738690 227520 034576 859555 811241 749700 211195 277747 313265 > 2548 [i]