MinT - Best Known (55−3, 55, s)-Nets in Base 3

Best Known (55−3, 55, s)-Nets in Base 3

(55−3, 55, large)-Net over F₃ — Constructive and digital

Digital (52, 55, large)-net over F₃, using

3²¹ 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]

(55−3, 55, large)-Net in Base 3 — Upper bound on s

There is no (52, 55, large)-net in base 3, because

1 times m-reduction [i] would yield (52, 54, large)-net in base 3, but
- mutually orthogonal hypercube bound [i]