MinT - Best Known (15, 22, s)-Nets in Base 2

Best Known (15, 22, s)-Nets in Base 2

(15, 22, 64)-Net over F₂ — Constructive and digital

Digital (15, 22, 64)-net over F₂, using

2¹ times duplication [i] based on digital (14, 21, 64)-net over F₂, using
- linear code embedding found in a computer search [i]

(15, 22, 228)-Net in Base 2 — Upper bound on s

There is no (15, 22, 229)-net in base 2, because

1 times m-reduction [i] would yield (15, 21, 229)-net in base 2, but
- the generalized Rao bound for nets shows that 2^mÂ â‰¥ 2 107488 > 2²¹ [i]