Best Known (119, 235, s)-Nets in Base 4
(119, 235, 130)-Net over F4 — Constructive and digital
Digital (119, 235, 130)-net over F4, using
- t-expansion [i] based on digital (105, 235, 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
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
(119, 235, 173)-Net over F4 — Digital
Digital (119, 235, 173)-net over F4, using
(119, 235, 2010)-Net in Base 4 — Upper bound on s
There is no (119, 235, 2011)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 3067 289581 003504 803748 405593 443683 130794 600927 286611 413556 782394 056533 564812 026841 663019 080357 713862 638708 364140 397338 155701 700011 974279 196150 > 4235 [i]