MinT - Best Known (3, 3+6, s)-Nets in Base 4

Best Known (3, 3+6, s)-Nets in Base 4

(3, 3+6, 18)-Net over F₄ — Constructive and digital

Digital (3, 9, 18)-net over F₄, using

linear code embedding found in a computer search [i]

(3, 3+6, 36)-Net in Base 4 — Upper bound on s

There is no (3, 9, 37)-net in base 4, because

the generalized Rao bound for nets shows that 4^mÂ â‰¥ 266068 > 4⁹ [i]