Best Known (108, 186, s)-Nets in Base 4
(108, 186, 130)-Net over F4 — Constructive and digital
Digital (108, 186, 130)-net over F4, using
- t-expansion [i] based on digital (105, 186, 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
(108, 186, 235)-Net over F4 — Digital
Digital (108, 186, 235)-net over F4, using
(108, 186, 3784)-Net in Base 4 — Upper bound on s
There is no (108, 186, 3785)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 9657 253580 631912 685607 750113 575394 356852 252141 127383 486110 163018 175708 685100 797009 616947 955019 898770 975082 032720 > 4186 [i]