Best Known (133−36, 133, s)-Nets in Base 2
(133−36, 133, 105)-Net over F2 — Constructive and digital
Digital (97, 133, 105)-net over F2, using
- 21 times duplication [i] based on digital (96, 132, 105)-net over F2, using
- trace code for nets [i] based on digital (8, 44, 35)-net over F8, using
- net from sequence [i] based on digital (8, 34)-sequence over F8, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F8 with g(F) = 7, N(F) = 34, and 1 place with degree 2 [i] based on function field F/F8 with g(F) = 7 and N(F) ≥ 34, using a function field by Sémirat [i]
- net from sequence [i] based on digital (8, 34)-sequence over F8, using
- trace code for nets [i] based on digital (8, 44, 35)-net over F8, using
(133−36, 133, 165)-Net over F2 — Digital
Digital (97, 133, 165)-net over F2, using
(133−36, 133, 1239)-Net in Base 2 — Upper bound on s
There is no (97, 133, 1240)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 10939 906094 675922 649876 782763 819865 724853 > 2133 [i]