Best Known (52−44, 52, s)-Nets in Base 256
(52−44, 52, 265)-Net over F256 — Constructive and digital
Digital (8, 52, 265)-net over F256, using
- net from sequence [i] based on digital (8, 264)-sequence over F256, using
(52−44, 52, 513)-Net over F256 — Digital
Digital (8, 52, 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
(52−44, 52, 17468)-Net in Base 256 — Upper bound on s
There is no (8, 52, 17469)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 169356 550394 294245 441381 517909 750260 234760 928539 352606 765742 769015 817387 504847 773318 439720 659773 981251 039351 740811 171665 392716 > 25652 [i]