Best Known (226−110, 226, s)-Nets in Base 4
(226−110, 226, 130)-Net over F4 — Constructive and digital
Digital (116, 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
(226−110, 226, 174)-Net over F4 — Digital
Digital (116, 226, 174)-net over F4, using
(226−110, 226, 2073)-Net in Base 4 — Upper bound on s
There is no (116, 226, 2074)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 11879 956578 342914 888094 454235 940167 048121 835476 845778 393686 820816 839036 893984 889972 963440 118059 445375 349352 154039 223881 106192 699865 746688 > 4226 [i]