Best Known (107, 107+110, s)-Nets in Base 4
(107, 107+110, 130)-Net over F4 — Constructive and digital
Digital (107, 217, 130)-net over F4, using
- t-expansion [i] based on digital (105, 217, 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
(107, 107+110, 148)-Net over F4 — Digital
Digital (107, 217, 148)-net over F4, using
(107, 107+110, 1643)-Net in Base 4 — Upper bound on s
There is no (107, 217, 1644)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 45273 617378 884912 285133 087262 596354 325232 585909 078889 011131 209397 786882 174452 066587 413910 438466 130229 964849 395980 498297 917516 884168 > 4217 [i]