Best Known (47−38, 47, s)-Nets in Base 256
(47−38, 47, 266)-Net over F256 — Constructive and digital
Digital (9, 47, 266)-net over F256, using
- net from sequence [i] based on digital (9, 265)-sequence over F256, using
(47−38, 47, 513)-Net over F256 — Digital
Digital (9, 47, 513)-net over F256, using
- t-expansion [i] based on digital (8, 47, 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
(47−38, 47, 28168)-Net in Base 256 — Upper bound on s
There is no (9, 47, 28169)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 153986 835631 206468 715788 863506 170368 845049 748727 024061 108681 047884 614606 652589 631593 883690 591880 943870 830484 301056 > 25647 [i]