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Advances in Elliptic Curve Cryptography by Blake I.F., Seroussi G., Smart N.P.

Advances in Elliptic Curve Cryptography Blake I.F., Seroussi G., Smart N.P. ebook
Page: 299
Publisher:
ISBN: 0511111614,
Format: pdf

Last week at #RSA2013, I had the good fortune to participate in a discussion panel with Symantec and Akamai (and others) discussing Symantec's forthcoming support for elliptic curve cryptography (ECC). Around the same time the function field sieve was invented which could solve to find out more about elliptic curves then see the two classic text books in the area. The original DSA algorithm, as specified in FIPS 186, 186-1 and 186-2, allows key sizes of 512 to 1024 bits. This book constitutes the refereed proceedings of the 27th Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2008, held in Istanbul, Turkey, in April 2008. Elliptic curves are already deployed in a number of places; in your phone, in the Playstation and XBox, in your browser and many other places. And 1999, respectively) adopt two additional algorithms specified in American National Standards (ANS) X9.31 (Digital Signatures Using Reversible Public Key Cryptography for the Financial Services Industry (rDSA)), and X9.62 (The Elliptic Curve Digital Signature Algorithm (ECDSA)). The next big advance was the invention of the number field sieve which showed that factoring and discrete logarithms (for large p), could be solved in time L(1/3). See the USAF paper Cryptanalysis of an elliptic curve cryptosystem for wireless sensor networks for a prior break of ECC with a poor RNG. As will be shown in the next section, Chipcon's ZStack makes use of poorly random PRNG data as key material, . With advances in technology, it is prudent to consider larger key sizes. This page intentionally left blank LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES Managing Editor: Professor N.J..