Best Known (170, 170+68, s)-Nets in Base 4
(170, 170+68, 531)-Net over F4 — Constructive and digital
Digital (170, 238, 531)-net over F4, using
- t-expansion [i] based on digital (169, 238, 531)-net over F4, using
- 5 times m-reduction [i] based on digital (169, 243, 531)-net over F4, using
- trace code for nets [i] based on digital (7, 81, 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, 81, 177)-net over F64, using
- 5 times m-reduction [i] based on digital (169, 243, 531)-net over F4, using
(170, 170+68, 1182)-Net over F4 — Digital
Digital (170, 238, 1182)-net over F4, using
(170, 170+68, 73894)-Net in Base 4 — Upper bound on s
There is no (170, 238, 73895)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 195177 521366 156447 335456 297915 983080 582141 365136 714352 356046 723925 589817 341475 346743 688517 747335 849641 540813 142182 032870 649051 254797 972906 456387 > 4238 [i]