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

AuthorsÁlvarez Marañón, Gonzalo; Hernández Encinas, Luis; Muñoz Masqué, Jaime
KeywordsBrahmagupta-Bhaskara equation
Pell equation
Issue DateMay-2008
PublisherInstitute of Electrical and Electronics Engineers
CitationIEEE Transactions on Circuits and Systems. Part 2: Express Briefs 55(5): 423-426 (2008)
AbstractRecently, Rama Murthy and Swamy proposed a symmetric cryptosystem based on the Brahmagupta-Bhaskara (BB) equation. The BB equation is the quadratic Diophantine equation nx^2 + k = y^2, where k is an integer and n is a positive integer such that sqrt(n) is irrational. For the particular case k=1, the equation is called the Pell equation. The proposed cryptosystem was modified later by the same authors in order to avoid the cryptanalysis given by Youssef. Below, a known-plaintext attack to both cryptosystems is presented.
Description4 pages, no figures.
Publisher version (URL)http://dx.doi.org/10.1109/TCSII.2007.914441
Appears in Collections:(IFA) Artículos
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