Best Known (65−44, 65, s)-Nets in Base 256
(65−44, 65, 278)-Net over F256 — Constructive and digital
Digital (21, 65, 278)-net over F256, using
- net from sequence [i] based on digital (21, 277)-sequence over F256, using
(65−44, 65, 513)-Net over F256 — Digital
Digital (21, 65, 513)-net over F256, using
- t-expansion [i] based on digital (8, 65, 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
(65−44, 65, 462974)-Net in Base 256 — Upper bound on s
There is no (21, 65, 462975)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 3 432430 338665 335253 282156 851471 315931 679135 094988 280825 359515 426590 529031 548436 347747 163315 732272 889544 258528 649041 551611 635363 500633 601179 974531 774581 684751 > 25665 [i]