MinT - Best Known (107−3, 107, s)-Nets in Base 2

Best Known (107−3, 107, s)-Nets in Base 2

(107−3, 107, large)-Net over F₂ — Constructive and digital

Digital (104, 107, large)-net over F₂, using

2³⁶ times duplication [i] based on digital (68, 71, large)-net over F₂, using
- t-expansion [i] based on digital (64, 71, large)-net over F₂, using
  - nets constructed from net-embeddable BCH codes [i]

(107−3, 107, large)-Net in Base 2 — Upper bound on s

There is no (104, 107, large)-net in base 2, because

1 times m-reduction [i] would yield (104, 106, large)-net in base 2, but
- mutually orthogonal hypercube bound [i]