MinT - Best Known (21, 31, s)-Nets in Base 2

Best Known (21, 31, s)-Nets in Base 2

(21, 31, 43)-Net over F₂ — Constructive and digital

Digital (21, 31, 43)-net over F₂, using

(u,Â u+v)-construction [i] based on
1. digital (5, 10, 20)-net over F₂, using
  - linear code embedding found in a computer search [i]
2. digital (11, 21, 23)-net over F₂, using
  - linear code embedding found in a computer search [i]

(21, 31, 184)-Net in Base 2 — Upper bound on s

There is no (21, 31, 185)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 2168 227788 > 2³¹ [i]