Best Known (16, 86, s)-Nets in Base 25
(16, 86, 126)-Net over F25 — Constructive and digital
Digital (16, 86, 126)-net over F25, using
- t-expansion [i] based on digital (10, 86, 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, 86, 150)-Net over F25 — Digital
Digital (16, 86, 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, 86, 1559)-Net in Base 25 — Upper bound on s
There is no (16, 86, 1560)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 1 701580 717839 924874 037871 523841 222888 722470 539955 723241 256467 129061 962294 775132 391818 692928 363577 374722 897431 264981 649345 > 2586 [i]