MinT - Best Known (51, 51+4, s)-Nets in Base 3

Best Known (51, 51+4, s)-Nets in Base 3

(51, 51+4, large)-Net over F₃ — Constructive and digital

Digital (51, 55, large)-net over F₃, using

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

(51, 51+4, large)-Net in Base 3 — Upper bound on s

There is no (51, 55, large)-net in base 3, because

2 times m-reduction [i] would yield (51, 53, large)-net in base 3, but
- mutually orthogonal hypercube bound [i]