MinT - Best Known (54, 96, s)-Nets in Base 2

Best Known (54, 96, s)-Nets in Base 2

(54, 96, 42)-Net over F₂ — Constructive and digital

Digital (54, 96, 42)-net over F₂, using

net from sequence [i] based on digital (54, 41)-sequence over F₂, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using
  - an explicitly constructive algebraic function field [i]

(54, 96, 177)-Net in Base 2 — Upper bound on s

There is no (54, 96, 178)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 84928 777347 385563 823690 303304 > 2⁹⁶ [i]