Best Known (201−85, 201, s)-Nets in Base 4
(201−85, 201, 130)-Net over F4 — Constructive and digital
Digital (116, 201, 130)-net over F4, using
- t-expansion [i] based on digital (105, 201, 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
(201−85, 201, 246)-Net over F4 — Digital
Digital (116, 201, 246)-net over F4, using
(201−85, 201, 4017)-Net in Base 4 — Upper bound on s
There is no (116, 201, 4018)-net in base 4, because
- 1 times m-reduction [i] would yield (116, 200, 4018)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 2 601819 441469 247645 056317 162690 262232 494026 634989 568360 255486 873348 528670 825789 304626 268415 123738 545686 887740 116171 626264 > 4200 [i]