Best Known (13, 13+14, s)-Nets in Base 8
(13, 13+14, 65)-Net over F8 — Constructive and digital
Digital (13, 27, 65)-net over F8, using
- base reduction for projective spaces (embedding PG(13,64) in PG(26,8)) for nets [i] based on digital (0, 14, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
(13, 13+14, 1465)-Net in Base 8 — Upper bound on s
There is no (13, 27, 1466)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 2 423647 506934 957989 482196 > 827 [i]