Best Known (46−33, 46, s)-Nets in Base 256
(46−33, 46, 270)-Net over F256 — Constructive and digital
Digital (13, 46, 270)-net over F256, using
- net from sequence [i] based on digital (13, 269)-sequence over F256, using
(46−33, 46, 513)-Net over F256 — Digital
Digital (13, 46, 513)-net over F256, using
- t-expansion [i] based on digital (8, 46, 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
(46−33, 46, 158180)-Net in Base 256 — Upper bound on s
There is no (13, 46, 158181)-net in base 256, because
- 1 times m-reduction [i] would yield (13, 45, 158181)-net in base 256, but
- the generalized Rao bound for nets shows that 256m ≥ 2 348683 913421 603936 172257 002006 397914 006898 776967 663321 678860 760878 474790 869675 358273 145273 171321 290241 527106 > 25645 [i]