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On rationality of Kummer surfaces over the field of two elements and the discrete logarithm problem D. Koshelev |
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Abstract: At the report it will be given a constructive proof of rationality over the field of two elements for the Kummer surface of the Jacobians of the two hyperelliptic genus 2 curves. This allows to produce an original efficient compression-decompression method for points of these Jacobians, which may be used in cryptography. |