Best Known (130, 130+96, s)-Nets in Base 4
(130, 130+96, 130)-Net over F4 — Constructive and digital
Digital (130, 226, 130)-net over F4, using
- t-expansion [i] based on digital (105, 226, 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
(130, 130+96, 268)-Net over F4 — Digital
Digital (130, 226, 268)-net over F4, using
(130, 130+96, 4230)-Net in Base 4 — Upper bound on s
There is no (130, 226, 4231)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 11754 683050 164183 229948 590108 726353 447432 181803 664852 506530 999689 637944 432886 809075 902274 392497 614980 912421 509778 631518 157703 412191 600296 > 4226 [i]