MinT - Best Known (142−5, 142, s)-Nets in Base 2

Best Known (142−5, 142, s)-Nets in Base 2

(142−5, 142, large)-Net over F₂ — Constructive and digital

Digital (137, 142, large)-net over F₂, using

2⁷¹ times duplication [i] based on digital (66, 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]

(142−5, 142, large)-Net in Base 2 — Upper bound on s

There is no (137, 142, large)-net in base 2, because

3 times m-reduction [i] would yield (137, 139, large)-net in base 2, but
- mutually orthogonal hypercube bound [i]