Best Known (96−80, 96, s)-Nets in Base 25
(96−80, 96, 126)-Net over F25 — Constructive and digital
Digital (16, 96, 126)-net over F25, using
- t-expansion [i] based on digital (10, 96, 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
(96−80, 96, 150)-Net over F25 — Digital
Digital (16, 96, 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
(96−80, 96, 1467)-Net in Base 25 — Upper bound on s
There is no (16, 96, 1468)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 163 588251 640414 083376 599730 394267 728696 427205 671016 017956 201017 774106 549660 874478 734873 500586 607325 673885 054201 981682 009943 641380 020993 > 2596 [i]