MinT - Best Known (13, 22, s)-Nets in Base 2

Best Known (13, 22, s)-Nets in Base 2

(13, 22, 29)-Net over F₂ — Constructive and digital

Digital (13, 22, 29)-net over F₂, using

2¹ times duplication [i] based on digital (12, 21, 29)-net over F₂, using
- linear code embedding found in a computer search [i]

(13, 22, 78)-Net in Base 2 — Upper bound on s

There is no (13, 22, 79)-net in base 2, because

1 times m-reduction [i] would yield (13, 21, 79)-net in base 2, but
- the generalized Rao bound for nets shows that 2^mÂ â‰¥ 2 109617 > 2²¹ [i]