Best Known (11, 11+44, s)-Nets in Base 256
(11, 11+44, 268)-Net over F256 — Constructive and digital
Digital (11, 55, 268)-net over F256, using
- net from sequence [i] based on digital (11, 267)-sequence over F256, using
(11, 11+44, 513)-Net over F256 — Digital
Digital (11, 55, 513)-net over F256, using
- t-expansion [i] based on digital (8, 55, 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
(11, 11+44, 37221)-Net in Base 256 — Upper bound on s
There is no (11, 55, 37222)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 2 840715 438198 398117 551357 588845 582940 141753 232075 614068 636682 171699 465402 169236 082785 315594 938772 390655 716894 146892 593926 585114 616496 > 25655 [i]