MinT - Best Known (29, 36, s)-Nets in Base 2

Best Known (29, 36, s)-Nets in Base 2

(29, 36, 2047)-Net over F₂ — Constructive and digital

Digital (29, 36, 2047)-net over F₂, using

2¹ times duplication [i] based on digital (28, 35, 2047)-net over F₂, using
- nets constructed from net-embeddable BCH codes [i]

(29, 36, 5903)-Net in Base 2 — Upper bound on s

There is no (29, 36, 5904)-net in base 2, because

1 times m-reduction [i] would yield (29, 35, 5904)-net in base 2, but
- the generalized Rao bound for nets shows that 2^mÂ â‰¥ 34369 243513 > 2³⁵ [i]