A LDPC codes based Authentication Scheme

Verifying multiple digital signatures in a batch to reduce verification time and computation has caught the interest of many researchers since many years. There are various batch verification schemes proposed for various popular digital signature algorithms such as DSS, RSA, ECDSA and other signature schemes. If there are any bad signatures in the given batch of signatures, then the batch verification test fails but the test does not indicate the location of the bad signature. In literature, there are very few efficient schemes, which locate the index of the bad signature/s in the given batch. These existing schemes perform poorly when the bad signature/s count is unknown or when the entire batch of signatures is faulty. To overcome these disadvantages, we propose a new Low-Density Parity-Check (LDPC) based verification scheme to locate the index of the bad signature/s. Our proposed scheme outperforms the other bad signature identification schemes. The comparative analysis of our scheme with the other schemes is provided. The primary advantage of the scheme is, it removes all the transmission errors in the received batch of signatures.