Best Known (59−42, 59, s)-Nets in Base 256
(59−42, 59, 274)-Net over F256 — Constructive and digital
Digital (17, 59, 274)-net over F256, using
- net from sequence [i] based on digital (17, 273)-sequence over F256, using
(59−42, 59, 513)-Net over F256 — Digital
Digital (17, 59, 513)-net over F256, using
- t-expansion [i] based on digital (8, 59, 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
(59−42, 59, 198581)-Net in Base 256 — Upper bound on s
There is no (17, 59, 198582)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 12195 522056 594464 386851 819296 010345 499278 807317 540738 934917 409844 185011 327548 955044 790837 563414 765035 156776 316341 347297 629302 050409 077430 587361 > 25659 [i]