Report on Pairing-based Cryptography

Report on Pairing-based Cryptography.

This report summarizes study results on pairing-based cryptography. The main purpose of the study is to form NIST's position on standardizing and recommending pairing-based cryptography schemes currently published in research literature and standardized in other standard bodies. The report reviews the mathematical background of pairings. This includes topics such as pairing-friendly elliptic cu...

Pairing-based Cryptography

Acknowledgements I would like to take this opportunity to express my gratitude to some people who were involved in this project. First of all, I owe thanks to Henk van Tilborg for being my overall supervisor and arranging current and previous projects. I would like to thank Benne de Weger, who was closely involved in the writing of this report, for the fruitful discussions and useful advises. T...

On the Disadvantages of Pairing-based Cryptography

Pairing-based cryptography (PBC) has many elegant properties. It is claimed that PBC can offer a desired security level with smaller parameters as the general elliptic curve cryptography (ECC). In the note, we remark that this view is misleading. Suppose that an elliptic curve E is defined over the field Fq. Then ECC is working with elements which are defined over Fq. But PBC is working with th...

Fault Attacks on Pairing-Based Cryptography

Fault Attack, Countermeasures on Pairing Based Cryptography

Bilinear pairing is a new and increasingly popular way of constructing cryptographic protocols. This has resulted in the development of Identity Based Encryption (IBE) that is ideally used in identity aware devices. The security of such devices using pairing algorithms against side-channel and fault attack has not been studied extensively. This paper examines the security of existing countermea...