Best Known (184−76, 184, s)-Nets in Base 4
(184−76, 184, 130)-Net over F4 — Constructive and digital
Digital (108, 184, 130)-net over F4, using
- t-expansion [i] based on digital (105, 184, 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
(184−76, 184, 245)-Net over F4 — Digital
Digital (108, 184, 245)-net over F4, using
(184−76, 184, 4089)-Net in Base 4 — Upper bound on s
There is no (108, 184, 4090)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 606 029018 486453 506292 998344 179324 923869 282059 194686 948481 912213 692707 095849 715269 815415 824921 420437 746754 497084 > 4184 [i]