Best Known (110, 256, s)-Nets in Base 2
(110, 256, 57)-Net over F2 — Constructive and digital
Digital (110, 256, 57)-net over F2, using
- net from sequence [i] based on digital (110, 56)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 69, N(F) = 48, 1 place with degree 2, and 8 places with degree 6 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
(110, 256, 72)-Net over F2 — Digital
Digital (110, 256, 72)-net over F2, using
- net from sequence [i] based on digital (110, 71)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 110 and N(F) ≥ 72, using
(110, 256, 223)-Net in Base 2 — Upper bound on s
There is no (110, 256, 224)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 120806 027131 146719 566381 754638 760787 129344 472688 832469 396745 595031 217305 113007 > 2256 [i]