Best Known (104−44, 104, s)-Nets in Base 16
(104−44, 104, 530)-Net over F16 — Constructive and digital
Digital (60, 104, 530)-net over F16, using
- trace code for nets [i] based on digital (8, 52, 265)-net over F256, using
- net from sequence [i] based on digital (8, 264)-sequence over F256, using
(104−44, 104, 1026)-Net over F16 — Digital
Digital (60, 104, 1026)-net over F16, using
- trace code for nets [i] based on digital (8, 52, 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
(104−44, 104, 297130)-Net in Base 16 — Upper bound on s
There is no (60, 104, 297131)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 169231 464739 268370 602530 932450 224552 168739 192663 776468 794777 369737 565021 208562 238105 857574 578757 434032 867952 441705 696397 310956 > 16104 [i]