Best Known (228−104, 228, s)-Nets in Base 4
(228−104, 228, 130)-Net over F4 — Constructive and digital
Digital (124, 228, 130)-net over F4, using
- t-expansion [i] based on digital (105, 228, 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
(228−104, 228, 215)-Net over F4 — Digital
Digital (124, 228, 215)-net over F4, using
(228−104, 228, 2898)-Net in Base 4 — Upper bound on s
There is no (124, 228, 2899)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 186199 528462 870076 389471 319329 002585 815123 117470 769413 318832 995855 273802 032421 702210 638930 219809 337340 442783 846211 785027 318602 066999 349520 > 4228 [i]