Best Known (10, 50, s)-Nets in Base 256
(10, 50, 267)-Net over F256 — Constructive and digital
Digital (10, 50, 267)-net over F256, using
- net from sequence [i] based on digital (10, 266)-sequence over F256, using
(10, 50, 513)-Net over F256 — Digital
Digital (10, 50, 513)-net over F256, using
- t-expansion [i] based on digital (8, 50, 513)-net over F256, using
- net from sequence [i] based on digital (8, 512)-sequence over F256, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513, using
- K1,1 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F256 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513, using
- net from sequence [i] based on digital (8, 512)-sequence over F256, using
(10, 50, 34138)-Net in Base 256 — Upper bound on s
There is no (10, 50, 34139)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 2 583041 870393 779128 217891 158922 625723 480676 164571 360041 107987 177772 370670 321030 462964 365146 391156 856286 955461 649694 304526 > 25650 [i]