Best Known (105, 105+66, s)-Nets in Base 4
(105, 105+66, 130)-Net over F4 — Constructive and digital
Digital (105, 171, 130)-net over F4, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- T7 from the second tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
(105, 105+66, 288)-Net over F4 — Digital
Digital (105, 171, 288)-net over F4, using
(105, 105+66, 5753)-Net in Base 4 — Upper bound on s
There is no (105, 171, 5754)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 8 959709 540929 821493 083382 256658 188675 291698 773812 311711 131452 998158 314338 089276 892495 411058 012799 398947 > 4171 [i]