MinT - Best Known (18−6, 18, s)-Nets in Base 2

Best Known (18−6, 18, s)-Nets in Base 2

(18−6, 18, 64)-Net over F₂ — Constructive and digital

Digital (12, 18, 64)-net over F₂, using

linear code embedding found in a computer search [i]

(18−6, 18, 112)-Net in Base 2 — Upper bound on s

There is no (12, 18, 113)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 266568 > 2¹⁸ [i]