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Common Modulus Attack on The Elliptic

Curve-Based RSA Variant

Dandi Agus Ferdianto

Bety Hayat Susanti

Sri Rosdiana

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RSA Overview and Variants

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RSA Overview and Variants

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Elliptic Curve Cryptography (ECC)

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Vulnerabilities in RSA and Elliptic Curve RSA

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Introduction to Common Modulus Attack

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Theorem and Recovery Process

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Example of Common Modulus Attack

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Elliptic Curve-Based RSA Variant (Boudabra

and Nitaj)

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Key Generation (Boudabra

and Nitaj)

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Encryption Process (Boudabra

and Nitaj)

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Decryption Process (Boudabra

and Nitaj)

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Study Methodology: Literature Review

Experimentation

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Common Modulus Attack on Elliptic

Curve-Based RSA Variant

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SageMath Calculation to get C1 and C2

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Computing a from C1 and C2

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Recovering the message (r, yM)

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New Common Modulus Attack Theorem

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Conclusion

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Future Directions