Best Known (176−68, 176, s)-Nets in Base 4
(176−68, 176, 130)-Net over F4 — Constructive and digital
Digital (108, 176, 130)-net over F4, using
- t-expansion [i] based on digital (105, 176, 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
(176−68, 176, 294)-Net over F4 — Digital
Digital (108, 176, 294)-net over F4, using
(176−68, 176, 5872)-Net in Base 4 — Upper bound on s
There is no (108, 176, 5873)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 9180 917243 026480 500899 074529 837557 188470 722653 228229 214919 167717 456761 539847 476663 663722 749371 957331 727176 > 4176 [i]