Best Known (61−38, 61, s)-Nets in Base 25
(61−38, 61, 148)-Net over F25 — Constructive and digital
Digital (23, 61, 148)-net over F25, using
- t-expansion [i] based on digital (19, 61, 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
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
(61−38, 61, 176)-Net over F25 — Digital
Digital (23, 61, 176)-net over F25, using
- net from sequence [i] based on digital (23, 175)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 23 and N(F) ≥ 176, using
(61−38, 61, 10155)-Net in Base 25 — Upper bound on s
There is no (23, 61, 10156)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 18 819153 318322 000595 855623 745273 417170 184662 127944 691203 757640 295201 653685 701872 281825 > 2561 [i]