Best Known (105, 168, s)-Nets in Base 4
(105, 168, 130)-Net over F4 — Constructive and digital
Digital (105, 168, 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
(105, 168, 314)-Net over F4 — Digital
Digital (105, 168, 314)-net over F4, using
(105, 168, 7223)-Net in Base 4 — Upper bound on s
There is no (105, 168, 7224)-net in base 4, because
- 1 times m-reduction [i] would yield (105, 167, 7224)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 35068 259414 757184 734803 406641 366393 039332 563785 103652 996644 608683 116279 463766 822610 520757 737456 689484 > 4167 [i]