Best Known (105, 174, s)-Nets in Base 4
(105, 174, 130)-Net over F4 — Constructive and digital
Digital (105, 174, 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, 174, 267)-Net over F4 — Digital
Digital (105, 174, 267)-net over F4, using
(105, 174, 5193)-Net in Base 4 — Upper bound on s
There is no (105, 174, 5194)-net in base 4, because
- 1 times m-reduction [i] would yield (105, 173, 5194)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 143 806872 653143 423495 400019 163922 782509 821483 452650 463245 161486 148421 561225 726757 999103 299658 955689 044680 > 4173 [i]