Known-Plaintext Attack to Two Cryptosystems Based on the BB Equation

@article{lvarez2008KnownPlaintextAT,
  title={Known-Plaintext Attack to Two Cryptosystems Based on the BB Equation},
  author={Gonzalo {\'A}lvarez and Luis Hern{\'a}ndez Encinas and Jaime Mu{\~n}oz Masqu{\'e}},
  journal={IEEE Transactions on Circuits and Systems II: Express Briefs},
  year={2008},
  volume={55},
  pages={423-426}
}
Recently, Rama Murthy and Swamy proposed a symmetric cryptosystem based on the Brahmagupta-Bhaskara (BB) equation. The BB equation is the quadratic Diophantine equation <i>nx</i> <sup>2</sup> + <i>k</i> = <i>y</i> <sup>2</sup>, where <i>k</i> is an integer and <i>n</i> is a positive integer such that radic(<i>n)</i> is irrational. For the particular case <i>k</i>=1, the equation is called the Pell equation. The proposed cryptosystem was modified later by the same authors in order to avoid the… CONTINUE READING

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