I want to learn about the hardness of the DLP in $\mathbb{F}_{p}$ and using Elliptic curves, and the best attacks against each. I want to be able to compare the hardness of the problem in the two setups. \ Can someone suggest me some useful links, books or papers?
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A Course in Number Theory and Cryptography by Neal Koblitz might be a good place to start. – Gerry Myerson Jun 26 '13 at 12:30