MinT - Best Known (42−4, 42, s)-Nets in Base 4

Best Known (42−4, 42, s)-Nets in Base 4

(42−4, 42, large)-Net over F₄ — Constructive and digital

Digital (38, 42, large)-net over F₄, using

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

(42−4, 42, large)-Net in Base 4 — Upper bound on s

There is no (38, 42, large)-net in base 4, because

2 times m-reduction [i] would yield (38, 40, large)-net in base 4, but
- mutually orthogonal hypercube bound [i]