Best Known (12, 12+34, s)-Nets in Base 256
(12, 12+34, 269)-Net over F256 — Constructive and digital
Digital (12, 46, 269)-net over F256, using
- net from sequence [i] based on digital (12, 268)-sequence over F256, using
(12, 12+34, 513)-Net over F256 — Digital
Digital (12, 46, 513)-net over F256, using
- t-expansion [i] based on digital (8, 46, 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
- net from sequence [i] based on digital (8, 512)-sequence over F256, using
(12, 12+34, 92423)-Net in Base 256 — Upper bound on s
There is no (12, 46, 92424)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 601 311929 207180 016470 753980 407443 801705 121273 756206 846944 269794 703877 126629 406121 178346 883887 765667 475427 082416 > 25646 [i]