On 2010-11-08 15:51, Jonathan Katz wrote:

I am looking for a short signature scheme (certainly shorter than RSA
signatures, as short as possible would be nice...) that is *patent-free* and (less important) easy to implement. Any suggestions?

Thanks to everyone who answered. (And I especially liked the suggestion to use the [GJKW] scheme!) I was actually hoping for something even shorter, though maybe that is not known.

A few questions remain:
- In general, what are the patent issues involved in using dlog-based signature schemes (whether DSS or [GJKW] or something else...) when instantiated using elliptic curve groups?

- Some people mentioned that 2^k security requires signatures of length 2k, presumably by analogy with hash functions. Although I see some intuition for thinking this, I don't see formally why this must be the case. (In particular, I don't see why it's an issue if two legitimately issued signatures happen to be the same, as long as they couldn't have been forged in advance.) Even more so if some application is signing short messages to begin with.
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