Best Known (39, 79, s)-Nets in Base 7
(39, 79, 50)-Net over F7 — Constructive and digital
Digital (39, 79, 50)-net over F7, using
- base reduction for projective spaces (embedding PG(39,49) in PG(78,7)) for nets [i] based on digital (0, 40, 50)-net over F49, using
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using
- the rational function field F49(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
(39, 79, 119)-Net over F7 — Digital
Digital (39, 79, 119)-net over F7, using
(39, 79, 3002)-Net in Base 7 — Upper bound on s
There is no (39, 79, 3003)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 5 820979 454581 801838 985800 135057 998918 269009 270267 293691 891750 352681 > 779 [i]