Best Known (120, 228, s)-Nets in Base 4
(120, 228, 130)-Net over F4 — Constructive and digital
Digital (120, 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
(120, 228, 191)-Net over F4 — Digital
Digital (120, 228, 191)-net over F4, using
(120, 228, 2390)-Net in Base 4 — Upper bound on s
There is no (120, 228, 2391)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 187941 620485 782749 027883 464688 465677 457480 499402 967358 840954 249215 801465 952526 275981 628863 545995 189865 731213 016038 513487 382846 629109 365146 > 4228 [i]