MinT - Best Known (122−4, 122, s)-Nets in Base 2

Best Known (122−4, 122, s)-Nets in Base 2

(122−4, 122, large)-Net over F₂ — Constructive and digital

Digital (118, 122, large)-net over F₂, using

2⁵¹ 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]

(122−4, 122, large)-Net in Base 2 — Upper bound on s

There is no (118, 122, large)-net in base 2, because

2 times m-reduction [i] would yield (118, 120, large)-net in base 2, but
- mutually orthogonal hypercube bound [i]