Car will not start when outside temperature is less than four degrees

Mazda 2 2005 year, 1.4 HDI semi automatic. When the outside temperature is less than 4 degrees Celsius car won't start and then the blinking light N, sometimes shines and the red light of transmissions. When the outside temperature is over 4 degrees Celsius car works normally, the gearbox and the engine are working perfectly and automatically and manually mod. Can you help me what can be the problem?