Best Known (14, 61, s)-Nets in Base 256
(14, 61, 271)-Net over F256 — Constructive and digital
Digital (14, 61, 271)-net over F256, using
- net from sequence [i] based on digital (14, 270)-sequence over F256, using
(14, 61, 513)-Net over F256 — Digital
Digital (14, 61, 513)-net over F256, using
- t-expansion [i] based on digital (8, 61, 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
(14, 61, 70829)-Net in Base 256 — Upper bound on s
There is no (14, 61, 70830)-net in base 256, because
- 1 times m-reduction [i] would yield (14, 60, 70830)-net in base 256, but
- the generalized Rao bound for nets shows that 256m ≥ 3 122411 266039 640984 712636 136910 824143 000346 094496 936810 628048 451049 370014 040802 503938 673362 195737 121261 979314 271153 874598 433564 788331 575845 221576 > 25660 [i]