Best Known (27, 27+38, s)-Nets in Base 25
(27, 27+38, 200)-Net over F25 — Constructive and digital
Digital (27, 65, 200)-net over F25, using
- t-expansion [i] based on digital (25, 65, 200)-net over F25, using
- net from sequence [i] based on digital (25, 199)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- net from sequence [i] based on digital (25, 199)-sequence over F25, using
(27, 27+38, 20008)-Net in Base 25 — Upper bound on s
There is no (27, 65, 20009)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 7 349162 469647 006359 694225 976157 584545 135934 509934 270562 260377 636152 714967 041417 159146 855625 > 2565 [i]