Best Known (224−104, 224, s)-Nets in Base 4
(224−104, 224, 130)-Net over F4 — Constructive and digital
Digital (120, 224, 130)-net over F4, using
- t-expansion [i] based on digital (105, 224, 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
(224−104, 224, 201)-Net over F4 — Digital
Digital (120, 224, 201)-net over F4, using
(224−104, 224, 2601)-Net in Base 4 — Upper bound on s
There is no (120, 224, 2602)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 734 720372 422046 980990 609710 602941 528328 344503 115230 971446 153291 105025 953334 809397 934692 080037 074275 046213 833000 117784 741362 469907 976640 > 4224 [i]