To fix the problem, you need to generate a new debug certificate. For this to be done, the existing debug.keystore file should be deleted.
Once the old certificate is deleted, the Eclipse plugin should generate a new certificate when we try to build a debug package. It would be a good idea to clean and then build the package for certificate generation.
To delete your debug certificate:
Linux & MacOS:
delete the debug.keystore file from ~/.android/debug.keystore
Windows:
C:\Users\YourUserName\.android\debug.keystore