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The RSA Public Key Crypto-System

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Factorization and Primality Testing

Part of the book series: Undergraduate Texts in Mathematics ((UTM))

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Abstract

One of the principal motivations for the flurry of work that has been done on factorization and primality testing over the past decade has been the invention by Rivest, Shamir, and Adleman in 1977 of a “public key cryptosystem” based on the fact that multiplication of two large primes is much easier then factoring the resulting product.

“Three may keep a secret, if two of them are dead.”

- Benjamin Franklin

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References

  • W. Diffie and M. E. Hellman, “New Directions in Cryptography,” IEEE Trans. Inform. Theory, IT-22(1976), 644–654.

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  • P. J. Hoogendoorn, “On a Secure Public-key Cryptosystem,” in Computational Methods in Number Theory, edited by H. W. Lenstra, Jr. and R. Tijdeman, Mathematisch Centrum, Amsterdam, 1982.

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  • R. C. Merkle, “Secure Communications over Insecure Channels,” Comm. ACM, 21(1978), 294–299.

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  • R. L. Rivest, A. Shamir, & L. Adleman, “A Method for Obtaining Digital Signatures and Public-Key Cryptosystems,” Comm. ACM, 21(1978), 120–126.

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  • G. J. Simmons, “Cryptology: The Mathematics of Secure Communication,” The Mathematical Intelligencer, 1(1979), 233–246.

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© 1989 Springer-Verlag New York, Inc.

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Bressoud, D.M. (1989). The RSA Public Key Crypto-System. In: Factorization and Primality Testing. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4544-5_4

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  • DOI: https://doi.org/10.1007/978-1-4612-4544-5_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8871-8

  • Online ISBN: 978-1-4612-4544-5

  • eBook Packages: Springer Book Archive

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