Place salt in enough water to cover sliced cucumbers. Do not heat water. Soak for two hours; drain. Put in quart jars.
Mix together sugar, vinegar, and black pepper. Pour over cucumbers in jars, adding more vinegar if needed. Divide garlic, peppers, and dill equally among the jars.
Seal jars with lids; refrigerate. Turn jars back and forth gently for about one week to keep black pepper, garlic, and dill circulated throughout the cucumbers.