Best Known (157−96, 157, s)-Nets in Base 2
(157−96, 157, 43)-Net over F2 — Constructive and digital
Digital (61, 157, 43)-net over F2, using
- t-expansion [i] based on digital (59, 157, 43)-net over F2, using
- net from sequence [i] based on digital (59, 42)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 54, N(F) = 42, and 1 place with degree 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (59, 42)-sequence over F2, using
(157−96, 157, 120)-Net in Base 2 — Upper bound on s
There is no (61, 157, 121)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 235145 154945 861335 348543 862586 911158 802482 114313 > 2157 [i]