3 The Challenge Explained This section gives an overview of some of the mathematics that are relevant to this challenge. The format for the challenge parameters presented in Section 4 is also explained. For further background on finite fields, consult the books by McEliece [McEliece] and Lidl and Niederreiter [LN]. For further background on elliptic curves, consult the books by Koblitz [Koblitz3] and Menezes [Menezes]. 3.1 Elliptic curves over F2m - format and examples 3.2 Elliptic curves over Fp - format and examples 3.3 Further details about the challenge

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