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PAR for P1363.3

PAR for P1363.3. Title: Standard for Pairing based Cryptographic Techniques. Scope:. “Specification of Identity-Based cryptographic techniques based on Pairings. Specification of Pairings, algorithms to compute the pairings, recommended elliptic curves and curve parameters.”.

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PAR for P1363.3

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  1. PAR for P1363.3 Title: • Standard for Pairing based Cryptographic Techniques PAR for IEEE P1363.3

  2. Scope: • “Specification of Identity-Based cryptographic techniques based on Pairings. • Specification of • Pairings, • algorithms to compute the pairings, • recommended elliptic curves and curve parameters.” PAR for IEEE P1363.3

  3. What is Identity-Based Cryptography? Basic Idea: Public-key Encryption with identities as Public Keys • Users have a public and a private key • Public key is common names, numbers, pre-existing identifiers • Private key is issued by an authority using a master key • Simplifies Key Management – No key lookup, allows use of short lived keys etc.. IBE Public Key: alice@gmail.com RSA Public Key: Public exponent = 0x10001 Modulus = 135066410865995223349603216278805969938881471191 560566702752448514385152651060485953383394028715 057190944179820728216447155137368041970396419174 304649658927425623934102086438320211037295872576 235850964311056407350150818751067659462920556368 552947521350085287941637732853390610975054433499 9811150056977236890927563 PAR for IEEE P1363.3

  4. What are Pairings? • Mappings between mathematical groups • Bilinear, non-degenerate, & efficiently computable • Examples: Weil pairings, Tate pairings • Can be exploited for good or bad • basis for cryptographic attacks (c. 1993), or • building new cryptographic systems (c. 2000) PAR for IEEE P1363.3

  5. Why standardize Pairing-Based Cryptography? • Strong Momentum in Industry • Several companies have developed applications(Hewlett-Packard, NTT, Gemplus, ST Microelectronics, Voltage, NoreTech…) • 10,000’s of IBE based email encryption users alone • Hardware support for PBC from leading smart card vendors • Interest from NSA, GCHQ and NIST • Strong Demand for a Standard • Customers have voiced strong need for standardization • Message format and protocol standards need a cryptographic foundation • All companies and organizations listed above are supportive of the standards effort PAR for IEEE P1363.3

  6. Why standardize Pairing-Based Cryptography? • Major Interest from the Research Community • Over 250 scientific publications on Identity-Based Techniques and Pairings (Google Scholar) • Workshop on Pairing Based Cryptography (June 2005) • Special edition of Journal of Cryptology on Pairings • RSA Conference Award for Mathematics awarded to Dan Boneh for IBE and PBC PAR for IEEE P1363.3

  7. Reason for project (from PAR) • “Identity-Based Cryptographic techniques based on pairings have received considerable attention in academia and industry over the last years. • Over 250 academic publications reference identity-based cryptographic techniques, • industry has started to deploy identity-based software and • hardware vendors have announced hardware support for identity-based techniques. • The reason for this working group is to foster a common standard on identity-based cryptographic techniques based on Pairings.” PAR for IEEE P1363.3

  8. Relationship to other 1363 standards • Another form of public key cryptography • different than 1363, 1363-a, P1363.1 and P1363.2 • Pairings are not covered in other 1363’s • Identity Based crypto is not in other 1363’s • Uses techniques & foundation of 1363/1363a • e.g. field arithmetic, elliptic curve techniques PAR for IEEE P1363.3

  9. Purpose: • “The proliferation of electronic communication and the internet, brings with it the need for privacy and data protection. Public Key Cryptography offers fundamental technology addressing this need. Many alternative public-key techniques have been proposed, each with its own benefits. The IEEE 1363 Standard and P1363a project have produced a comprehensive reference defining a range of common public-key techniques covering key agreement, public-key encryption and digital signatures from several families, namely the discrete logarithm, integer factorization, and elliptic curve families. • IEEE P1363.3 will specify Identity-Based Cryptographic techniques based on Pairings. These offer advantages over classic public key techniques specified in IEEE 1363, examples are the lack of a requirement to exchange or look up public keys of a recipient and the simplified use of short-lived keys.” PAR for IEEE P1363.3

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