Best Known (158, 158+92, s)-Nets in Base 2
(158, 158+92, 112)-Net over F2 — Constructive and digital
Digital (158, 250, 112)-net over F2, using
- trace code for nets [i] based on digital (33, 125, 56)-net over F4, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
(158, 158+92, 135)-Net over F2 — Digital
Digital (158, 250, 135)-net over F2, using
(158, 158+92, 712)-Net in Base 2 — Upper bound on s
There is no (158, 250, 713)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 1848 169448 055338 239758 375170 867326 754326 210488 901107 648321 885801 169825 788960 > 2250 [i]