Best Known (106, 106+71, s)-Nets in Base 4
(106, 106+71, 130)-Net over F4 — Constructive and digital
Digital (106, 177, 130)-net over F4, using
- t-expansion [i] based on digital (105, 177, 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
(106, 106+71, 260)-Net over F4 — Digital
Digital (106, 177, 260)-net over F4, using
(106, 106+71, 4910)-Net in Base 4 — Upper bound on s
There is no (106, 177, 4911)-net in base 4, because
- 1 times m-reduction [i] would yield (106, 176, 4911)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 9209 432715 268367 064570 218203 951539 285321 530885 239271 424256 790815 457373 800462 004013 590087 904146 701495 425096 > 4176 [i]