Best Known (169−90, 169, s)-Nets in Base 4
(169−90, 169, 104)-Net over F4 — Constructive and digital
Digital (79, 169, 104)-net over F4, using
- t-expansion [i] based on digital (73, 169, 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
(169−90, 169, 112)-Net over F4 — Digital
Digital (79, 169, 112)-net over F4, using
- t-expansion [i] based on digital (73, 169, 112)-net over F4, using
- net from sequence [i] based on digital (73, 111)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 112, using
- net from sequence [i] based on digital (73, 111)-sequence over F4, using
(169−90, 169, 1035)-Net in Base 4 — Upper bound on s
There is no (79, 169, 1036)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 576616 392396 926166 868953 377609 835267 761213 480592 263320 402900 289616 461588 076496 208640 008665 900145 481472 > 4169 [i]