Best Known (72−47, 72, s)-Nets in Base 25
(72−47, 72, 200)-Net over F25 — Constructive and digital
Digital (25, 72, 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
(72−47, 72, 8109)-Net in Base 25 — Upper bound on s
There is no (25, 72, 8110)-net in base 25, because
- 1 times m-reduction [i] would yield (25, 71, 8110)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 1797 035073 167087 787749 784232 670946 494685 001539 070050 801544 867488 948381 744937 534393 672244 202911 555185 > 2571 [i]