Best Known (237−112, 237, s)-Nets in Base 4
(237−112, 237, 130)-Net over F4 — Constructive and digital
Digital (125, 237, 130)-net over F4, using
- t-expansion [i] based on digital (105, 237, 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
(237−112, 237, 200)-Net over F4 — Digital
Digital (125, 237, 200)-net over F4, using
(237−112, 237, 2509)-Net in Base 4 — Upper bound on s
There is no (125, 237, 2510)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 48855 100689 029275 447875 342068 714465 359431 347883 211516 199996 627860 318802 088136 493309 861103 794762 760333 212384 017810 586903 329598 056046 114730 057172 > 4237 [i]