Best Known (236−104, 236, s)-Nets in Base 4
(236−104, 236, 130)-Net over F4 — Constructive and digital
Digital (132, 236, 130)-net over F4, using
- t-expansion [i] based on digital (105, 236, 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
(236−104, 236, 248)-Net over F4 — Digital
Digital (132, 236, 248)-net over F4, using
(236−104, 236, 3598)-Net in Base 4 — Upper bound on s
There is no (132, 236, 3599)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 12334 244228 991641 065034 717235 776922 624193 035581 089581 859254 518309 043073 775568 421252 011188 093933 082205 600728 776416 890400 716752 732810 884276 832800 > 4236 [i]