Cage order $n(3,10)$

Balaban 10-cage

Koko90, via Wikimedia Commons. CC BY-SA 3.0.

The order of a $(3,10)$-cage, a $3$-regular graph of girth $10$ of minimum order.

Value: $70$

Updates

Upper bound: $70$
Reference unknown
[via Dynamic Cage Survey, Geoffrey Exoo and Robert Jajcay, 2013-07-26]
Lower bound: $70$
Reference unknown
[via Dynamic Cage Survey, Geoffrey Exoo and Robert Jajcay, 2013-07-26]