Cut the cabbage lengthwise through and then crosswise into 2-inch-wide strips.
Place the cabbage in a large bowl and sprinkle with the salt. Massage the salt into the cabbage until it starts to soften.
Add enough water to cover the cabbage. Put a plate on top and weigh it down with something heavy. Let it stand for 2 hours.
Rinse and drain the cabbage 3 times under cold water. Drain for 30 mins.
Meanwhile prepare all other ingredients. After the cabbage has drained, mix everything thoroughly, work the paste into the vegetables until they are thoroughly coated.
Pack the kimchi into jars. Press down on the kimchi until the brine rises to cover the vegetables, leaving at least 1 inch of space at the top. Seal the jar.
Let them ferment for 1 to 5 days. Place jars on something to catch any overflow. Keep at cool room temperature, out of direct sunlight, for 1 to 5 days. It's normal to see bubbles inside the jar and brine may seep out.
Check the kimchi once a day, opening the jar and pressing down on the vegetables with a clean spoon to keep them submerged under the brine and release gases produced during fermentation.
When the kimchi tastes ripe enough for your liking, transfer the jar to the refrigerator. The cold will stop further fermentation.
You may eat it right away, but it's best after another week or two.