Best Known (62−48, 62, s)-Nets in Base 256
(62−48, 62, 271)-Net over F256 — Constructive and digital
Digital (14, 62, 271)-net over F256, using
- net from sequence [i] based on digital (14, 270)-sequence over F256, using
(62−48, 62, 513)-Net over F256 — Digital
Digital (14, 62, 513)-net over F256, using
- t-expansion [i] based on digital (8, 62, 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
(62−48, 62, 63977)-Net in Base 256 — Upper bound on s
There is no (14, 62, 63978)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 204589 399602 051026 815975 758763 992684 776446 042831 582019 239747 091102 845366 234188 850687 171113 925135 934350 915249 305134 878615 275537 925610 856207 851317 749886 > 25662 [i]