MinT - Best Known (82, 82+4, s)-Nets in Base 2

Best Known (82, 82+4, s)-Nets in Base 2

(82, 82+4, large)-Net over F₂ — Constructive and digital

Digital (82, 86, large)-net over F₂, using

2¹⁵ times duplication [i] based on digital (67, 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]

(82, 82+4, large)-Net in Base 2 — Upper bound on s

There is no (82, 86, large)-net in base 2, because

2 times m-reduction [i] would yield (82, 84, large)-net in base 2, but
- mutually orthogonal hypercube bound [i]