Best Known (106, 106+72, s)-Nets in Base 4
(106, 106+72, 130)-Net over F4 — Constructive and digital
Digital (106, 178, 130)-net over F4, using
- t-expansion [i] based on digital (105, 178, 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
(106, 106+72, 255)-Net over F4 — Digital
Digital (106, 178, 255)-net over F4, using
(106, 106+72, 4483)-Net in Base 4 — Upper bound on s
There is no (106, 178, 4484)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 147251 148517 407039 094581 332574 000456 109619 716449 885189 069037 183822 646489 297943 707072 835958 603564 304955 504160 > 4178 [i]