Best Known (15−8, 15, s)-Nets in Base 5
(15−8, 15, 26)-Net over F5 — Constructive and digital
Digital (7, 15, 26)-net over F5, using
- base reduction for projective spaces (embedding PG(7,25) in PG(14,5)) for nets [i] based on digital (0, 8, 26)-net over F25, using
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using
- the rational function field F25(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
(15−8, 15, 29)-Net over F5 — Digital
Digital (7, 15, 29)-net over F5, using
(15−8, 15, 228)-Net in Base 5 — Upper bound on s
There is no (7, 15, 229)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 30630 347505 > 515 [i]