Best Known (219−94, 219, s)-Nets in Base 4
(219−94, 219, 130)-Net over F4 — Constructive and digital
Digital (125, 219, 130)-net over F4, using
- t-expansion [i] based on digital (105, 219, 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
(219−94, 219, 252)-Net over F4 — Digital
Digital (125, 219, 252)-net over F4, using
(219−94, 219, 3872)-Net in Base 4 — Upper bound on s
There is no (125, 219, 3873)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 711669 304094 809237 576452 835817 398093 354627 123434 078889 458893 593140 328973 176534 968647 052256 511635 150335 208769 537957 199337 527849 357568 > 4219 [i]