Best Known (202−85, 202, s)-Nets in Base 4
(202−85, 202, 130)-Net over F4 — Constructive and digital
Digital (117, 202, 130)-net over F4, using
- t-expansion [i] based on digital (105, 202, 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
(202−85, 202, 251)-Net over F4 — Digital
Digital (117, 202, 251)-net over F4, using
(202−85, 202, 4153)-Net in Base 4 — Upper bound on s
There is no (117, 202, 4154)-net in base 4, because
- 1 times m-reduction [i] would yield (117, 201, 4154)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 10 408787 620333 683274 440250 130645 991727 830016 913515 954161 621742 198608 305493 156836 351673 050802 958983 714612 444693 395140 910320 > 4201 [i]