Best Known (21, 21+24, s)-Nets in Base 25
(21, 21+24, 148)-Net over F25 — Constructive and digital
Digital (21, 45, 148)-net over F25, using
- t-expansion [i] based on digital (19, 45, 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
(21, 21+24, 225)-Net over F25 — Digital
Digital (21, 45, 225)-net over F25, using
(21, 21+24, 38490)-Net in Base 25 — Upper bound on s
There is no (21, 45, 38491)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 807 831065 553110 795211 184612 511698 376156 484008 955381 795169 598305 > 2545 [i]