The universal re-encryption scheme URE and its extension EURE were reviewed

discovering their vulnerabilities to Pfitzmann attack.Then a novel re-encryption scheme WGRe（WonGoo Re-encryption） was proposed.WGRe could en-sure the correctness of the outputs from a node and protect against replay attack

which was hard in layered encryption sys-tems.The experimental results show WGRe is practical and more efficient than URE and EURE schemes due to the fact that its ciphertext is only double the size of the corresponding plaintext

instead of four times as URE or EURE.