Is the coin supply infinite due to the inflation?

No, This is due to the reward system and Inflation system that is in place which will work towards a finite coin supply. The ‘fixed’ rate of newly generated coins is programmed to decrease over time (at predefined block heights), eventually the number of new BCNA coins generated halts completely. By this time the nodes in the network should be sufficiently incentivised to proceed their services exclusively by the transaction fees.

There is an estimated maximum coin supply around 450.000.000 BCNA coins. Please note that this is an estimate, the system could be subject to changes over time if it benefits the network. For more information checkout the reward page.