Best Known (64−40, 64, s)-Nets in Base 25
(64−40, 64, 148)-Net over F25 — Constructive and digital
Digital (24, 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
(64−40, 64, 184)-Net over F25 — Digital
Digital (24, 64, 184)-net over F25, using
- net from sequence [i] based on digital (24, 183)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 24 and N(F) ≥ 184, using
(64−40, 64, 10281)-Net in Base 25 — Upper bound on s
There is no (24, 64, 10282)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 294018 758815 809490 185330 571300 919505 834587 924235 546144 807018 459969 945343 603781 097778 630465 > 2564 [i]