MinT - Best Known (52−3, 52, s)-Nets in Base 3

Best Known (52−3, 52, s)-Nets in Base 3

(52−3, 52, large)-Net over F₃ — Constructive and digital

Digital (49, 52, large)-net over F₃, using

3¹⁸ times duplication [i] based on digital (31, 34, large)-net over F₃, using
- t-expansion [i] based on digital (30, 34, large)-net over F₃, using
  - nets constructed from net-embeddable BCH codes [i]

(52−3, 52, large)-Net in Base 3 — Upper bound on s

There is no (49, 52, large)-net in base 3, because

1 times m-reduction [i] would yield (49, 51, large)-net in base 3, but
- mutually orthogonal hypercube bound [i]