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

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

(31−3, 31, large)-Net over F₃ — Constructive and digital

Digital (28, 31, large)-net over F₃, using

1 times m-reduction [i] based on digital (28, 32, large)-net over F₃, using
- nets constructed from net-embeddable BCH codes [i]

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

There is no (28, 31, large)-net in base 3, because

1 times m-reduction [i] would yield (28, 30, large)-net in base 3, but
- mutually orthogonal hypercube bound [i]