Best Known (63−44, 63, s)-Nets in Base 25
(63−44, 63, 148)-Net over F25 — Constructive and digital
Digital (19, 63, 148)-net over F25, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
(63−44, 63, 162)-Net over F25 — Digital
Digital (19, 63, 162)-net over F25, using
- net from sequence [i] based on digital (19, 161)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 162, using
(63−44, 63, 3789)-Net in Base 25 — Upper bound on s
There is no (19, 63, 3790)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 11821 191179 467391 204596 151582 938695 149386 827881 449140 849459 096614 657848 707680 997359 681185 > 2563 [i]