Best Known (17, 17+46, s)-Nets in Base 256
(17, 17+46, 274)-Net over F256 — Constructive and digital
Digital (17, 63, 274)-net over F256, using
- net from sequence [i] based on digital (17, 273)-sequence over F256, using
(17, 17+46, 513)-Net over F256 — Digital
Digital (17, 63, 513)-net over F256, using
- t-expansion [i] based on digital (8, 63, 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
(17, 17+46, 146004)-Net in Base 256 — Upper bound on s
There is no (17, 63, 146005)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 52 377668 671490 557221 561628 169443 123498 195663 581415 932349 635422 958212 636782 602341 141257 146892 221599 512146 086651 138217 817528 151551 177832 426637 391561 168576 > 25663 [i]