Best Known (118, 228, s)-Nets in Base 4
(118, 228, 130)-Net over F4 — Constructive and digital
Digital (118, 228, 130)-net over F4, using
- t-expansion [i] based on digital (105, 228, 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
(118, 228, 181)-Net over F4 — Digital
Digital (118, 228, 181)-net over F4, using
(118, 228, 2182)-Net in Base 4 — Upper bound on s
There is no (118, 228, 2183)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 187566 890897 784216 069746 247359 343386 574905 846946 142959 729324 239640 065739 757880 653300 339602 720082 991357 647888 114261 874270 946653 848967 989216 > 4228 [i]