Field Case

Some articles on field, field case:

Elliptic Curve Cryptography - Implementation Considerations - Key Sizes
... giant-step, Pollard's rho, etc.), need steps, it follows that the size of the underlying field shall be roughly twice the security parameter ... This can be contrasted with finite-field cryptography (e.g ... (publicly) broken to date had a 112-bit key for the prime field case and a 109-bit key for the binary field case ...

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