Best Known (13, 13+10, s)-Nets in Base 9
(13, 13+10, 200)-Net over F9 — Constructive and digital
Digital (13, 23, 200)-net over F9, using
- 1 times m-reduction [i] based on digital (13, 24, 200)-net over F9, using
- trace code for nets [i] based on digital (1, 12, 100)-net over F81, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- trace code for nets [i] based on digital (1, 12, 100)-net over F81, using
(13, 13+10, 7982)-Net in Base 9 — Upper bound on s
There is no (13, 23, 7983)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 8867 744419 654552 863577 > 923 [i]