Antibiotics, particularly those in the penicillin and sulfa groups, are the most common cause of drug allergies.  Most drug allergies are usually limited to hives, swelling, and skin rashes, but some people experience rare and life-threatening reactions, called anaphylaxis.  Drug allergies are caused by your immune system mistaking the antibiotic for a foreign substance, inflaming your skin or, in more severe cases, restricting airways and causing shock, which can lead to unconsciousness or death.  If you experience the symptoms of anaphylaxis, it's crucial that you seek medical help immediately, as it is a medical emergency. Learning how to treat skin rashes and recognize the signs of a more severe reaction can help you feel your best, and could save your life.
The second type of Dachshund Skin Problem you might come across is the reaction to food allergies. Once again the primary sign is the dog itching. Some other symptoms you might see are excessive scratching, and skin infections. The skin infections will need to be treated by some type of antibiotic. Once the dog is off the antibiotic and the skin infection returns this is a good sign that your dog has a food allergy. Your Veterinarian will help you in figuring out what food your Dachshund is allergic to and recommending a food that they would be able to eat.