Best Known (79, 79+32, s)-Nets in Base 2
(79, 79+32, 84)-Net over F2 — Constructive and digital
Digital (79, 111, 84)-net over F2, using
- trace code for nets [i] based on digital (5, 37, 28)-net over F8, using
- net from sequence [i] based on digital (5, 27)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 28, using
- net from sequence [i] based on digital (5, 27)-sequence over F8, using
(79, 79+32, 123)-Net over F2 — Digital
Digital (79, 111, 123)-net over F2, using
(79, 79+32, 810)-Net in Base 2 — Upper bound on s
There is no (79, 111, 811)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 2628 687289 062967 195326 483107 423986 > 2111 [i]