MinT - Best Known (34, 48, s)-Nets in Base 2

Best Known (34, 48, s)-Nets in Base 2

(34, 48, 60)-Net over F₂ — Constructive and digital

Digital (34, 48, 60)-net over F₂, using

(u,Â u+v)-construction [i] based on
1. digital (9, 16, 28)-net over F₂, using
  - linear code embedding found in a computer search [i]
2. digital (18, 32, 32)-net over F₂, using
  - a shift-net [i]

(34, 48, 68)-Net over F₂ — Digital

Digital (34, 48, 68)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(34, 48, 381)-Net in Base 2 — Upper bound on s

There is no (34, 48, 382)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 281 651121 198664 > 2⁴⁸ [i]