Best Known (204−92, 204, s)-Nets in Base 4
(204−92, 204, 130)-Net over F4 — Constructive and digital
Digital (112, 204, 130)-net over F4, using
- t-expansion [i] based on digital (105, 204, 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
(204−92, 204, 202)-Net over F4 — Digital
Digital (112, 204, 202)-net over F4, using
(204−92, 204, 2768)-Net in Base 4 — Upper bound on s
There is no (112, 204, 2769)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 666 181805 304597 061616 902514 054002 177616 902440 147270 482761 948409 532190 378163 169821 907988 715532 489406 289554 905817 206041 320048 > 4204 [i]