Best Known (95, 224, s)-Nets in Base 4
(95, 224, 104)-Net over F4 — Constructive and digital
Digital (95, 224, 104)-net over F4, using
- t-expansion [i] based on digital (73, 224, 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
(95, 224, 144)-Net over F4 — Digital
Digital (95, 224, 144)-net over F4, using
- t-expansion [i] based on digital (91, 224, 144)-net over F4, using
- net from sequence [i] based on digital (91, 143)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 91 and N(F) ≥ 144, using
- net from sequence [i] based on digital (91, 143)-sequence over F4, using
(95, 224, 978)-Net in Base 4 — Upper bound on s
There is no (95, 224, 979)-net in base 4, because
- 1 times m-reduction [i] would yield (95, 223, 979)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 188 892386 394747 081300 785991 473824 642671 044167 014986 469391 992673 589982 672752 514796 983040 823357 799324 494104 453337 475844 038433 208002 214359 > 4223 [i]