Best Known (190−80, 190, s)-Nets in Base 4
(190−80, 190, 130)-Net over F4 — Constructive and digital
Digital (110, 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
(190−80, 190, 237)-Net over F4 — Digital
Digital (110, 190, 237)-net over F4, using
(190−80, 190, 3773)-Net in Base 4 — Upper bound on s
There is no (110, 190, 3774)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2 484657 334430 137793 929788 614517 388669 051747 819039 700846 595521 982079 306771 157343 525503 353887 600246 386451 263547 410419 > 4190 [i]