Best Known (107, 107+68, s)-Nets in Base 4
(107, 107+68, 130)-Net over F4 — Constructive and digital
Digital (107, 175, 130)-net over F4, using
- t-expansion [i] based on digital (105, 175, 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+68, 287)-Net over F4 — Digital
Digital (107, 175, 287)-net over F4, using
(107, 107+68, 5637)-Net in Base 4 — Upper bound on s
There is no (107, 175, 5638)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2305 635355 887606 329663 022614 151478 962001 999420 137033 605569 491413 825367 514938 492277 122226 535040 466815 436960 > 4175 [i]