Best Known (8, 8+26, s)-Nets in Base 256
(8, 8+26, 265)-Net over F256 — Constructive and digital
Digital (8, 34, 265)-net over F256, using
- net from sequence [i] based on digital (8, 264)-sequence over F256, using
(8, 8+26, 513)-Net over F256 — Digital
Digital (8, 34, 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
(8, 8+26, 44185)-Net in Base 256 — Upper bound on s
There is no (8, 34, 44186)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 7589 550602 015138 978559 649965 151565 782655 840183 884349 844328 226340 530931 130277 892916 > 25634 [i]