LMR36015: EMC issues

Part Number: LMR36015
Other Parts Discussed in Thread: BQ25302,

Tool/software:

Hi everyone,
I mounted the LMR36015BRNX step-down converter on a 4-layer PCB. It is a handheld device equipped with a single lithium polymer cell. 

During the usual CE EMC measurements in the lab, I failed the radiation test and the cable-connected feedback test.
I determined the main cause to be the BQ25302, and asked for help in the following thread.

https://e2e.ti.com/support/power-management-group/power-management/f/power-management-forum/1421283/bq25302-emc-issues

I also suspect relevant interference signals from the LMR36015BRNX. This is also the IC closest to the device input/output.

Does anyone have suggestions for solutions? 
What are the relevant components in the circuit diagram and layout to keep interference signals to a minimum?