Kkakdugi (Cubed Radish Kimchi)

Name: Kkakdugi (Cubed Radish Kimchi)
Cuisine: Asian, Korean
Ingredients: 3 medium to large Korean radishes (about 6.5 pounds - see note 1); 1/3 cup coarse sea salt (less if using finer salt); 3 - 4 scallions (cut into about 1-inch lengths); 2/3 cup gochugaru (고추가루, Korean red chili pepper flakes); 1/4 cup saeujeot (새우젓, salted shrimp, finely minced - see note 2); 2 tablespoons myulchiaekjeot (멸치액젓, fish sauce); 3 tablespoons minced garlic; 1 teaspoon grated ginger; 2 tablespoons sugar (use more to taste or for summer radish); a large bowl (7 – 8 qt); a large colander; kitchen gloves; 1 gallon or 2 half-gallon airtight container or jar