MinT - Best Known (45, 45+4, s)-Nets in Base 2

Best Known (45, 45+4, s)-Nets in Base 2

(45, 45+4, large)-Net over F₂ — Constructive and digital

Digital (45, 49, large)-net over F₂, using

2¹ times duplication [i] based on digital (44, 48, large)-net over F₂, using
- nets constructed from net-embeddable BCH codes [i]

(45, 45+4, large)-Net in Base 2 — Upper bound on s

There is no (45, 49, large)-net in base 2, because

2 times m-reduction [i] would yield (45, 47, large)-net in base 2, but
- mutually orthogonal hypercube bound [i]