In a medium bowl, mix together flour, cocoa powder, baking soda, and salt.
In a large bowl, using a hand mixer, beat butter and sugar until creamy. Add eggs and continue to beat until creamy. Add in peppermint.
Slowly add dry ingredients into wet until well combined and dough forms.
Add dough to plastic wrap and form in the shape of a log, then wrap the dough up tightly.
Refrigerate dough for 4 hours or overnight.
Unwrap dough and slice into 1/4" thickness. Place on parchment lined baking sheet and bake at 350F for 10-12 minutes. Let cool.
Melt white chocolate in increments in the microwave and dip half of cooled cookie into white chocolate. Sprinkle with crushed peppermint candy. Repeat until all cookies are done.