Best Known (107, 107+88, s)-Nets in Base 4
(107, 107+88, 130)-Net over F4 — Constructive and digital
Digital (107, 195, 130)-net over F4, using
- t-expansion [i] based on digital (105, 195, 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+88, 194)-Net over F4 — Digital
Digital (107, 195, 194)-net over F4, using
(107, 107+88, 2643)-Net in Base 4 — Upper bound on s
There is no (107, 195, 2644)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2549 949989 668349 599212 675651 502636 000727 962620 497588 889994 045436 376160 039972 693603 058824 444034 988994 955975 082243 404152 > 4195 [i]