MinT - Best Known (10−2, 10, s)-Nets in Base 2

Best Known (10−2, 10, s)-Nets in Base 2

(10−2, 10, 1023)-Net over F₂ — Constructive and digital

Digital (8, 10, 1023)-net over F₂, using

kÂ =Â 2 construction [i]

(10−2, 10, 1023)-Net in Base 2 — Upper bound on s

There is no (8, 10, 1024)-net in base 2, because

mutually orthogonal hypercube bound [i]
the generalized Rao bound for nets shows that 2^mÂ â‰¥ 1025 > 2¹⁰ [i]