Best Known (96, 131, s)-Nets in Base 2
(96, 131, 105)-Net over F2 — Constructive and digital
Digital (96, 131, 105)-net over F2, using
- 1 times m-reduction [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
(96, 131, 169)-Net over F2 — Digital
Digital (96, 131, 169)-net over F2, using
(96, 131, 1413)-Net in Base 2 — Upper bound on s
There is no (96, 131, 1414)-net in base 2, because
- 1 times m-reduction [i] would yield (96, 130, 1414)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 1364 464190 546792 598084 425268 615483 391032 > 2130 [i]