Best Known (158, 221, s)-Nets in Base 4
(158, 221, 531)-Net over F4 — Constructive and digital
Digital (158, 221, 531)-net over F4, using
- t-expansion [i] based on digital (157, 221, 531)-net over F4, using
- 4 times m-reduction [i] based on digital (157, 225, 531)-net over F4, using
- trace code for nets [i] based on digital (7, 75, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- trace code for nets [i] based on digital (7, 75, 177)-net over F64, using
- 4 times m-reduction [i] based on digital (157, 225, 531)-net over F4, using
(158, 221, 1121)-Net over F4 — Digital
Digital (158, 221, 1121)-net over F4, using
(158, 221, 77527)-Net in Base 4 — Upper bound on s
There is no (158, 221, 77528)-net in base 4, because
- 1 times m-reduction [i] would yield (158, 220, 77528)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 2 840214 339037 724170 273655 443010 739769 770316 849639 949122 209249 717516 853664 640751 211013 714565 843719 872415 166218 884597 551874 574927 716440 > 4220 [i]