Best Known (94−78, 94, s)-Nets in Base 25
(94−78, 94, 126)-Net over F25 — Constructive and digital
Digital (16, 94, 126)-net over F25, using
- t-expansion [i] based on digital (10, 94, 126)-net over F25, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
(94−78, 94, 150)-Net over F25 — Digital
Digital (16, 94, 150)-net over F25, using
- net from sequence [i] based on digital (16, 149)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 16 and N(F) ≥ 150, using
(94−78, 94, 1481)-Net in Base 25 — Upper bound on s
There is no (16, 94, 1482)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 260083 539044 874305 050816 126619 946730 862506 927620 135774 954805 872853 833270 637445 679010 331406 170318 906208 348322 310255 476016 357779 135825 > 2594 [i]