Best Known (118, 118+108, s)-Nets in Base 4
(118, 118+108, 130)-Net over F4 — Constructive and digital
Digital (118, 226, 130)-net over F4, using
- t-expansion [i] based on digital (105, 226, 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
(118, 118+108, 185)-Net over F4 — Digital
Digital (118, 226, 185)-net over F4, using
(118, 118+108, 2268)-Net in Base 4 — Upper bound on s
There is no (118, 226, 2269)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 11708 398452 351997 402755 133441 091606 630967 236074 654260 039205 178852 950179 984295 612239 716956 493139 620779 548439 927273 977340 910223 327523 893304 > 4226 [i]