MinT - Best Known (58−4, 58, s)-Nets in Base 3

Best Known (58−4, 58, s)-Nets in Base 3

(58−4, 58, large)-Net over F₃ — Constructive and digital

Digital (54, 58, large)-net over F₃, using

3²⁴ times duplication [i] based on digital (30, 34, large)-net over F₃, using
- nets constructed from net-embeddable BCH codes [i]

(58−4, 58, large)-Net in Base 3 — Upper bound on s

There is no (54, 58, large)-net in base 3, because

2 times m-reduction [i] would yield (54, 56, large)-net in base 3, but
- mutually orthogonal hypercube bound [i]