Best Known (24, 24+58, s)-Nets in Base 25
(24, 24+58, 148)-Net over F25 — Constructive and digital
Digital (24, 82, 148)-net over F25, using
- t-expansion [i] based on digital (19, 82, 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
(24, 24+58, 184)-Net over F25 — Digital
Digital (24, 82, 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
(24, 24+58, 4347)-Net in Base 25 — Upper bound on s
There is no (24, 82, 4348)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 4 304522 226476 896867 266560 588721 895195 136382 383021 950565 015057 770321 886806 516626 756440 435158 115072 986107 780794 332705 > 2582 [i]