An authenticated remote client can cause a KDC to crash by making a valid TGS-REQ to a KDC serving a realm with a single-component name. The processtgsreq() function dereferences a null pointer because an unusual failure condition causes a helper function to return success (CVE-2013-1417).
If a KDC serves multiple realms, certain requests can cause setupserverrealm() to dereference a null pointer, crashing the KDC. This can be triggered by an unauthenticated user (CVE-2013-1418).