Best Known (48−34, 48, s)-Nets in Base 256
(48−34, 48, 271)-Net over F256 — Constructive and digital
Digital (14, 48, 271)-net over F256, using
- net from sequence [i] based on digital (14, 270)-sequence over F256, using
(48−34, 48, 513)-Net over F256 — Digital
Digital (14, 48, 513)-net over F256, using
- t-expansion [i] based on digital (8, 48, 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
(48−34, 48, 177468)-Net in Base 256 — Upper bound on s
There is no (14, 48, 177469)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 39 403306 334418 224862 875825 732489 099069 099832 244291 934910 283101 558758 281016 410192 276689 813416 210621 879920 813645 034116 > 25648 [i]