Best Known (202−92, 202, s)-Nets in Base 4
(202−92, 202, 130)-Net over F4 — Constructive and digital
Digital (110, 202, 130)-net over F4, using
- t-expansion [i] based on digital (105, 202, 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
(202−92, 202, 194)-Net over F4 — Digital
Digital (110, 202, 194)-net over F4, using
(202−92, 202, 2604)-Net in Base 4 — Upper bound on s
There is no (110, 202, 2605)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 41 750508 201772 814935 948306 866957 080343 425710 900101 350014 630548 494380 741700 860239 756240 191747 655788 812653 004914 309114 041776 > 4202 [i]