MinT - Best Known (26, 38, s)-Nets in Base 2

Best Known (26, 38, s)-Nets in Base 2

(26, 38, 48)-Net over F₂ — Constructive and digital

Digital (26, 38, 48)-net over F₂, using

(u,Â u+v)-construction [i] based on
1. digital (7, 13, 23)-net over F₂, using
  - linear code embedding found in a computer search [i]
2. digital (13, 25, 25)-net over F₂, using
  - a shift-net [i]

(26, 38, 49)-Net over F₂ — Digital

Digital (26, 38, 49)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(26, 38, 233)-Net in Base 2 — Upper bound on s

There is no (26, 38, 234)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 281555 720980 > 2³⁸ [i]