MinT - Best Known (4, 4+8, s)-Nets in Base 4

Best Known (4, 4+8, s)-Nets in Base 4

(4, 4+8, 17)-Net over F₄ — Constructive and digital

Digital (4, 12, 17)-net over F₄, using

linear code embedding found in a computer search [i]

(4, 4+8, 44)-Net in Base 4 — Upper bound on s

There is no (4, 12, 45)-net in base 4, because

the generalized Rao bound for nets shows that 4^mÂ â‰¥ 17 568631 > 4¹² [i]