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R&D on Coppersmith's modified lattice attack on CRT-RSA combined with Gröbnerbasis computation. An analysis, implementation of tools, and extensions to published attacks for recovering CRT-RSA moduli with (unusually) small decryption-exponents.

MatthiasMi/CRT-RSA_LatticeAttack_Analysis

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CRT-RSA_LatticeAttack_Analysis

R&D on Coppersmith's modified lattice attack on CRT-RSA combined with Gröbnerbasis computation. An analysis, implementation of tools, and extensions to published attacks for recovering CRT-RSA moduli with (unusually) small decryption-exponents.

Features

  • Implementation of the full attack; Given a (vulnerable) CRT-RSA instance, we factor the modulus $N=p*q$.
  • Experimental results and tools
  • Tests for analysing different $\delta = \log_N(d)$: asympotical, theoretical, practical
  • Plot heatmaps of lattices for visual inspection and pattern recognition
  • Tests determining upper bound for successful factor-recoverery

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R&D on Coppersmith's modified lattice attack on CRT-RSA combined with Gröbnerbasis computation. An analysis, implementation of tools, and extensions to published attacks for recovering CRT-RSA moduli with (unusually) small decryption-exponents.

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