Best Known (8, 39, s)-Nets in Base 256
(8, 39, 265)-Net over F256 — Constructive and digital
Digital (8, 39, 265)-net over F256, using
- net from sequence [i] based on digital (8, 264)-sequence over F256, using
(8, 39, 513)-Net over F256 — Digital
Digital (8, 39, 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, 39, 31769)-Net in Base 256 — Upper bound on s
There is no (8, 39, 31770)-net in base 256, because
- 1 times m-reduction [i] would yield (8, 38, 31770)-net in base 256, but
- the generalized Rao bound for nets shows that 256m ≥ 32 606824 140171 230459 086729 059751 198588 554265 215514 903380 361771 171198 737310 438144 099724 118376 > 25638 [i]