MinT - Best Known (29−13, 29, s)-Nets in Base 3

Best Known (29−13, 29, s)-Nets in Base 3

(29−13, 29, 32)-Net over F₃ — Constructive and digital

Digital (16, 29, 32)-net over F₃, using

3 times m-reduction [i] based on digital (16, 32, 32)-net over F₃, using
- a shift-net [i]

(29−13, 29, 34)-Net over F₃ — Digital

Digital (16, 29, 34)-net over F₃, using

Gilbertâ€“VarÅ¡amov bound [i]

(29−13, 29, 246)-Net in Base 3 — Upper bound on s

There is no (16, 29, 247)-net in base 3, because

1 times m-reduction [i] would yield (16, 28, 247)-net in base 3, but
- the generalized Rao bound for nets shows that 3^mÂ â‰¥ 23 009172 904485 > 3²⁸ [i]