Best Known (92−78, 92, s)-Nets in Base 25
(92−78, 92, 126)-Net over F25 — Constructive and digital
Digital (14, 92, 126)-net over F25, using
- t-expansion [i] based on digital (10, 92, 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
(92−78, 92, 130)-Net over F25 — Digital
Digital (14, 92, 130)-net over F25, using
- net from sequence [i] based on digital (14, 129)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 14 and N(F) ≥ 130, using
(92−78, 92, 1252)-Net in Base 25 — Upper bound on s
There is no (14, 92, 1253)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 411 415882 275515 964734 169643 000481 443175 435254 400430 000415 691965 153027 917310 957847 694361 459767 260096 287354 299281 388199 344975 855625 > 2592 [i]