Best Known (113, 221, s)-Nets in Base 4
(113, 221, 130)-Net over F4 — Constructive and digital
Digital (113, 221, 130)-net over F4, using
- t-expansion [i] based on digital (105, 221, 130)-net over F4, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- T7 from the second 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) = 105 and N(F) ≥ 130, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
(113, 221, 169)-Net over F4 — Digital
Digital (113, 221, 169)-net over F4, using
(113, 221, 1990)-Net in Base 4 — Upper bound on s
There is no (113, 221, 1991)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 11 620665 256982 940602 930318 557358 289113 910566 867091 663251 001184 825252 147410 694394 119590 757599 240371 611737 884792 738951 786973 656730 358756 > 4221 [i]