MinT - Best Known (3, 3+5, s)-Nets in Base 3

Best Known (3, 3+5, s)-Nets in Base 3

(3, 3+5, 18)-Net over F₃ — Constructive and digital

Digital (3, 8, 18)-net over F₃, using

linear code embedding found in a computer search [i]

(3, 3+5, 29)-Net in Base 3 — Upper bound on s

There is no (3, 8, 30)-net in base 3, because

extracting embedded OOA [i] would yield OOA(3⁸, 30, S₃, 2, 5), but
- the linear programming bound for OOAs shows that MÂ â‰¥ 2 101767 996888 / 309 215311 > 3⁸ [i]