Best Known (26, 144, s)-Nets in Base 9
(26, 144, 78)-Net over F9 — Constructive and digital
Digital (26, 144, 78)-net over F9, using
- t-expansion [i] based on digital (22, 144, 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
(26, 144, 110)-Net over F9 — Digital
Digital (26, 144, 110)-net over F9, using
- net from sequence [i] based on digital (26, 109)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 26 and N(F) ≥ 110, using
(26, 144, 572)-Net in Base 9 — Upper bound on s
There is no (26, 144, 573)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 264512 490687 541178 340208 955612 336208 779131 565610 405514 906997 890179 941229 326573 427518 892386 216014 007546 711087 418375 772079 473333 789862 941113 > 9144 [i]