Best Known (56−38, 56, s)-Nets in Base 256
(56−38, 56, 275)-Net over F256 — Constructive and digital
Digital (18, 56, 275)-net over F256, using
- net from sequence [i] based on digital (18, 274)-sequence over F256, using
(56−38, 56, 513)-Net over F256 — Digital
Digital (18, 56, 513)-net over F256, using
- t-expansion [i] based on digital (8, 56, 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
(56−38, 56, 389614)-Net in Base 256 — Upper bound on s
There is no (18, 56, 389615)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 726 839793 391492 507955 546871 766521 664077 717690 175126 128308 601261 084299 339802 586110 631387 378784 482000 946137 314987 680117 247344 330294 945176 > 25656 [i]