Best Known (214−60, 214, s)-Nets in Base 4
(214−60, 214, 531)-Net over F4 — Constructive and digital
Digital (154, 214, 531)-net over F4, using
- t-expansion [i] based on digital (153, 214, 531)-net over F4, using
- 5 times m-reduction [i] based on digital (153, 219, 531)-net over F4, using
- trace code for nets [i] based on digital (7, 73, 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, 73, 177)-net over F64, using
- 5 times m-reduction [i] based on digital (153, 219, 531)-net over F4, using
(214−60, 214, 1174)-Net over F4 — Digital
Digital (154, 214, 1174)-net over F4, using
(214−60, 214, 79109)-Net in Base 4 — Upper bound on s
There is no (154, 214, 79110)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 693 350713 620127 749228 334870 075442 525410 604959 837975 699641 883106 446053 634379 851284 777043 548688 729340 304546 495170 202477 371660 904832 > 4214 [i]