Best Known (141−66, 141, s)-Nets in Base 4
(141−66, 141, 104)-Net over F4 — Constructive and digital
Digital (75, 141, 104)-net over F4, using
- t-expansion [i] based on digital (73, 141, 104)-net over F4, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- F6 from the 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) = 73 and N(F) ≥ 104, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
(141−66, 141, 131)-Net over F4 — Digital
Digital (75, 141, 131)-net over F4, using
(141−66, 141, 1612)-Net in Base 4 — Upper bound on s
There is no (75, 141, 1613)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 7 846634 226182 420605 118796 419604 077623 305585 654885 204136 201421 771888 593073 790472 747120 > 4141 [i]