MinT - Best Known (127−5, 127, s)-Nets in Base 2

Best Known (127−5, 127, s)-Nets in Base 2

(127−5, 127, large)-Net over F₂ — Constructive and digital

Digital (122, 127, large)-net over F₂, using

2⁵⁶ 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]

(127−5, 127, large)-Net in Base 2 — Upper bound on s

There is no (122, 127, large)-net in base 2, because

3 times m-reduction [i] would yield (122, 124, large)-net in base 2, but
- mutually orthogonal hypercube bound [i]