Best Known (25, 25+94, s)-Nets in Base 9
(25, 25+94, 78)-Net over F9 — Constructive and digital
Digital (25, 119, 78)-net over F9, using
- t-expansion [i] based on digital (22, 119, 78)-net over F9, using
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- F3 from the tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
(25, 25+94, 96)-Net over F9 — Digital
Digital (25, 119, 96)-net over F9, using
- net from sequence [i] based on digital (25, 95)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 25 and N(F) ≥ 96, using
(25, 25+94, 570)-Net in Base 9 — Upper bound on s
There is no (25, 119, 571)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 387098 441825 090946 726306 441688 216669 468580 769578 409519 091280 130806 549932 652922 723054 045061 583855 108149 516814 389545 > 9119 [i]