Best Known (76, 154, s)-Nets in Base 4
(76, 154, 104)-Net over F4 — Constructive and digital
Digital (76, 154, 104)-net over F4, using
- t-expansion [i] based on digital (73, 154, 104)-net over F4, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- F6 from the 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) = 73 and N(F) ≥ 104, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
(76, 154, 112)-Net over F4 — Digital
Digital (76, 154, 112)-net over F4, using
- t-expansion [i] based on digital (73, 154, 112)-net over F4, using
- net from sequence [i] based on digital (73, 111)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 112, using
- net from sequence [i] based on digital (73, 111)-sequence over F4, using
(76, 154, 1191)-Net in Base 4 — Upper bound on s
There is no (76, 154, 1192)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 521 481887 311366 441705 002001 619441 271844 360324 604477 961801 326770 289401 459870 412768 953375 375795 > 4154 [i]