Best Known (183−72, 183, s)-Nets in Base 4
(183−72, 183, 130)-Net over F4 — Constructive and digital
Digital (111, 183, 130)-net over F4, using
- t-expansion [i] based on digital (105, 183, 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
(183−72, 183, 286)-Net over F4 — Digital
Digital (111, 183, 286)-net over F4, using
(183−72, 183, 5441)-Net in Base 4 — Upper bound on s
There is no (111, 183, 5442)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 150 482722 675376 338207 470845 198576 725271 279392 202186 446898 183645 408276 767287 781714 260028 141862 419950 151612 686160 > 4183 [i]