MinT - Best Known (31, 31+3, s)-Nets in Base 4

Best Known (31, 31+3, s)-Nets in Base 4

(31, 31+3, large)-Net over F₄ — Constructive and digital

Digital (31, 34, large)-net over F₄, using

4⁸ 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]

(31, 31+3, large)-Net in Base 4 — Upper bound on s

There is no (31, 34, large)-net in base 4, because

1 times m-reduction [i] would yield (31, 33, large)-net in base 4, but
- mutually orthogonal hypercube bound [i]