Best Known (40, 40+16, s)-Nets in Base 9
(40, 40+16, 464)-Net over F9 — Constructive and digital
Digital (40, 56, 464)-net over F9, using
- (u, u+v)-construction [i] based on
- digital (12, 20, 232)-net over F9, using
- trace code for nets [i] based on digital (2, 10, 116)-net over F81, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- trace code for nets [i] based on digital (2, 10, 116)-net over F81, using
- digital (20, 36, 232)-net over F9, using
- trace code for nets [i] based on digital (2, 18, 116)-net over F81, using
- net from sequence [i] based on digital (2, 115)-sequence over F81 (see above)
- trace code for nets [i] based on digital (2, 18, 116)-net over F81, using
- digital (12, 20, 232)-net over F9, using
(40, 40+16, 3281)-Net over F9 — Digital
Digital (40, 56, 3281)-net over F9, using
(40, 40+16, 2250592)-Net in Base 9 — Upper bound on s
There is no (40, 56, 2250593)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 273893 691492 235418 615213 655921 728001 104040 179198 467905 > 956 [i]