Best Known (190−85, 190, s)-Nets in Base 4
(190−85, 190, 130)-Net over F4 — Constructive and digital
Digital (105, 190, 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
(190−85, 190, 195)-Net over F4 — Digital
Digital (105, 190, 195)-net over F4, using
(190−85, 190, 2783)-Net in Base 4 — Upper bound on s
There is no (105, 190, 2784)-net in base 4, because
- 1 times m-reduction [i] would yield (105, 189, 2784)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 618203 645574 141465 819114 265399 804523 925567 789606 402101 271446 627911 212762 622678 290314 156267 986702 711550 493085 567750 > 4189 [i]