Best Known (24, 24+54, s)-Nets in Base 25
(24, 24+54, 148)-Net over F25 — Constructive and digital
Digital (24, 78, 148)-net over F25, using
- t-expansion [i] based on digital (19, 78, 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+54, 184)-Net over F25 — Digital
Digital (24, 78, 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+54, 4959)-Net in Base 25 — Upper bound on s
There is no (24, 78, 4960)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 10 966042 254024 900867 972000 073792 260854 529278 737904 191045 933806 860524 535994 359277 914834 010668 543637 409657 126657 > 2578 [i]