Best Known (8, 40, s)-Nets in Base 256
(8, 40, 265)-Net over F256 — Constructive and digital
Digital (8, 40, 265)-net over F256, using
- net from sequence [i] based on digital (8, 264)-sequence over F256, using
(8, 40, 513)-Net over F256 — Digital
Digital (8, 40, 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, 40, 27956)-Net in Base 256 — Upper bound on s
There is no (8, 40, 27957)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 2 136740 214532 531537 419723 416207 600341 438173 816841 975748 076044 384521 577534 865684 981244 992207 009811 > 25640 [i]