Best Known (107, 107+78, s)-Nets in Base 4
(107, 107+78, 130)-Net over F4 — Constructive and digital
Digital (107, 185, 130)-net over F4, using
- t-expansion [i] based on digital (105, 185, 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
(107, 107+78, 230)-Net over F4 — Digital
Digital (107, 185, 230)-net over F4, using
(107, 107+78, 3651)-Net in Base 4 — Upper bound on s
There is no (107, 185, 3652)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2421 705386 285885 999556 047247 849606 974062 985563 826486 657714 302682 631358 596608 335397 789356 548613 993866 177019 279888 > 4185 [i]