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Elliptic curves are in cryptography

V.I. Dolgov
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Terms which must be taken into account at the selection of elliptic curves for cryptographic applications are determined. The proper concept vehicle over is brought, in particular the concepts of singularity and supersingularity are determined for elliptic curves and theoretical positions, lyings in their basis, are examined.
Keywords: cryptography, elliptic curve, singularity, supersingularity