Best Known (118, 118+112, s)-Nets in Base 4
(118, 118+112, 130)-Net over F4 — Constructive and digital
Digital (118, 230, 130)-net over F4, using
- t-expansion [i] based on digital (105, 230, 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, 118+112, 177)-Net over F4 — Digital
Digital (118, 230, 177)-net over F4, using
(118, 118+112, 2103)-Net in Base 4 — Upper bound on s
There is no (118, 230, 2104)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 3 027756 563437 841065 099759 041356 017035 400070 829387 151181 749470 980122 989255 834164 490790 526862 345280 422093 907658 584991 838341 529989 682203 309152 > 4230 [i]