Yes, that's the price one has to pay, I 'm afraid. You cannot scan the matrix without a little flicker.
On the other hand, you may increase the current that LED's draw. Do you have the data sheets about that LEDs? Are they capable to withstand more than 20mA?
On a recent project I used Kingbright LED 5mm @ 20mA. They were really bright! They are 10000mcad and may replace car lamps (that's what I intend to do soon).
Ioannis
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