Best Known (110−42, 110, s)-Nets in Base 9
(110−42, 110, 448)-Net over F9 — Constructive and digital
Digital (68, 110, 448)-net over F9, using
- trace code for nets [i] based on digital (13, 55, 224)-net over F81, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
(110−42, 110, 753)-Net over F9 — Digital
Digital (68, 110, 753)-net over F9, using
(110−42, 110, 108084)-Net in Base 9 — Upper bound on s
There is no (68, 110, 108085)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 926 157770 035892 435512 355998 897418 354671 965267 479489 449174 194502 128679 116194 984542 175485 263867 664572 724809 > 9110 [i]