MinT - Best Known (30, 30+3, s)-Nets in Base 4

Best Known (30, 30+3, s)-Nets in Base 4

(30, 30+3, large)-Net over F₄ — Constructive and digital

Digital (30, 33, large)-net over F₄, using

4⁷ times duplication [i] based on digital (23, 26, large)-net over F₄, using
- t-expansion [i] based on digital (22, 26, large)-net over F₄, using
  - nets constructed from net-embeddable BCH codes [i]

(30, 30+3, large)-Net in Base 4 — Upper bound on s

There is no (30, 33, large)-net in base 4, because

1 times m-reduction [i] would yield (30, 32, large)-net in base 4, but
- mutually orthogonal hypercube bound [i]