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Traits of a RSA Modulus on T3 Tree

Author

Listed:
  • Xingbo WANG
  • Zhen SHEN

Abstract

The article investigates how the two divisors of a RSA modulus distribute in the T3 tree. It proves that, the two divisors of a RSA modulus lie on the same level or on two adjacent levels and at least one of them is clamped on the same level where the square root of the RSA modulus lies. Then the paper proposes three interval-subdivisions that can indicate which subinterval the two divisors lie in. Mathematical deductions are showed in detail, which can be a reference to design algorithm of RSA factorization.

Suggested Citation

  • Xingbo WANG & Zhen SHEN, 2018. "Traits of a RSA Modulus on T3 Tree," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(6), pages 15-29, December.
    • Handle: RePEc:ibn:jmrjnl:v:10:y:2018:i:6:p:15
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    File URL: http://www.ccsenet.org/journal/index.php/jmr/article/download/0/0/37166/38013
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    File URL: http://www.ccsenet.org/journal/index.php/jmr/article/view/0/37166
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    References listed on IDEAS

    as
    1. Xingbo WANG & Zhikui DUAN & Wen WAN, 2018. "Some New Inequalities With Proofs and Comments on Applications," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(3), pages 15-19, June.
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    Cited by:

    1. Xingbo WANG, 2019. "Interval Tree and Its Application in Integer Factorization," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(2), pages 103-113, April.

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      More about this item

      Keywords

      RSA modulus; divisor distribution; binary tree; subdivision;
      All these keywords.

      JEL classification:

      • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
      • Z0 - Other Special Topics - - General

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