MinT - Best Known (48, 48+4, s)-Nets in Base 2

Best Known (48, 48+4, s)-Nets in Base 2

(48, 48+4, large)-Net over F₂ — Constructive and digital

Digital (48, 52, large)-net over F₂, using

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

(48, 48+4, large)-Net in Base 2 — Upper bound on s

There is no (48, 52, large)-net in base 2, because

2 times m-reduction [i] would yield (48, 50, large)-net in base 2, but
- mutually orthogonal hypercube bound [i]