Best Known (66−58, 66, s)-Nets in Base 256
(66−58, 66, 265)-Net over F256 — Constructive and digital
Digital (8, 66, 265)-net over F256, using
- net from sequence [i] based on digital (8, 264)-sequence over F256, using
(66−58, 66, 513)-Net over F256 — Digital
Digital (8, 66, 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
(66−58, 66, 13834)-Net in Base 256 — Upper bound on s
There is no (8, 66, 13835)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 879 754456 678450 790314 521569 236661 217042 118682 342343 877227 719365 709087 907905 635082 629132 531774 255510 874029 124273 806780 436414 648883 198878 078676 881176 806885 880576 > 25666 [i]