Best Known (174−68, 174, s)-Nets in Base 4
(174−68, 174, 130)-Net over F4 — Constructive and digital
Digital (106, 174, 130)-net over F4, using
- t-expansion [i] based on digital (105, 174, 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
(174−68, 174, 280)-Net over F4 — Digital
Digital (106, 174, 280)-net over F4, using
(174−68, 174, 5410)-Net in Base 4 — Upper bound on s
There is no (106, 174, 5411)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 574 123726 700561 167348 578551 903647 514056 924376 443768 981265 398239 942461 312256 857349 076523 823893 293352 031745 > 4174 [i]