MinT - Best Known (44−4, 44, s)-Nets in Base 3

Best Known (44−4, 44, s)-Nets in Base 3

(44−4, 44, large)-Net over F₃ — Constructive and digital

Digital (40, 44, large)-net over F₃, using

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

(44−4, 44, large)-Net in Base 3 — Upper bound on s

There is no (40, 44, large)-net in base 3, because

2 times m-reduction [i] would yield (40, 42, large)-net in base 3, but
- mutually orthogonal hypercube bound [i]