Best Known (32, 32+33, s)-Nets in Base 25
(32, 32+33, 204)-Net over F25 — Constructive and digital
Digital (32, 65, 204)-net over F25, using
- t-expansion [i] based on digital (30, 65, 204)-net over F25, using
- net from sequence [i] based on digital (30, 203)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 30 and N(F) ≥ 204, using
- net from sequence [i] based on digital (30, 203)-sequence over F25, using
(32, 32+33, 384)-Net over F25 — Digital
Digital (32, 65, 384)-net over F25, using
(32, 32+33, 110676)-Net in Base 25 — Upper bound on s
There is no (32, 65, 110677)-net in base 25, because
- 1 times m-reduction [i] would yield (32, 64, 110677)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 293894 215472 190676 056832 777587 318958 855057 517472 850188 577142 642738 178773 765289 036602 818945 > 2564 [i]