Best Known (190−76, 190, s)-Nets in Base 4
(190−76, 190, 130)-Net over F4 — Constructive and digital
Digital (114, 190, 130)-net over F4, using
- t-expansion [i] based on digital (105, 190, 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
(190−76, 190, 279)-Net over F4 — Digital
Digital (114, 190, 279)-net over F4, using
(190−76, 190, 5097)-Net in Base 4 — Upper bound on s
There is no (114, 190, 5098)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2 475329 847317 907944 521580 636611 597912 135633 180757 104576 525653 670979 061735 878891 494129 222896 513552 694914 448678 107100 > 4190 [i]