Best Known (16, 16+86, s)-Nets in Base 25
(16, 16+86, 126)-Net over F25 — Constructive and digital
Digital (16, 102, 126)-net over F25, using
- t-expansion [i] based on digital (10, 102, 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
(16, 16+86, 150)-Net over F25 — Digital
Digital (16, 102, 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
(16, 16+86, 1433)-Net in Base 25 — Upper bound on s
There is no (16, 102, 1434)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 39174 904119 758023 097918 529525 105592 588317 468281 542146 618894 904666 046997 638855 905751 368645 853048 593876 342755 324310 422621 163292 760274 939082 663185 > 25102 [i]