Best Known (64−44, 64, s)-Nets in Base 25
(64−44, 64, 148)-Net over F25 — Constructive and digital
Digital (20, 64, 148)-net over F25, using
- t-expansion [i] based on digital (19, 64, 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
(64−44, 64, 171)-Net over F25 — Digital
Digital (20, 64, 171)-net over F25, using
- net from sequence [i] based on digital (20, 170)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 20 and N(F) ≥ 171, using
(64−44, 64, 4387)-Net in Base 25 — Upper bound on s
There is no (20, 64, 4388)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 294142 619543 826066 932974 191587 432423 438286 382107 298720 473581 209531 222488 220945 054606 578625 > 2564 [i]