Best Known (130, 130+108, s)-Nets in Base 4
(130, 130+108, 130)-Net over F4 — Constructive and digital
Digital (130, 238, 130)-net over F4, using
- t-expansion [i] based on digital (105, 238, 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
(130, 130+108, 227)-Net over F4 — Digital
Digital (130, 238, 227)-net over F4, using
(130, 130+108, 3103)-Net in Base 4 — Upper bound on s
There is no (130, 238, 3104)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 198175 909599 898308 658437 446161 831073 717996 470615 884326 663736 597882 910485 877938 082480 482973 644497 991857 038836 624538 805587 427190 631026 776525 297824 > 4238 [i]