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Título

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

AutorÁlvarez Marañón, Gonzalo; Hernández Encinas, Luis; Muñoz Masqué, Jaime
Palabras claveBrahmagupta-Bhaskara equation
Cryptanalysis
Cryptography
Pell equation
Fecha de publicaciónmay-2008
EditorInstitute of Electrical and Electronics Engineers
CitaciónIEEE Transactions on Circuits and Systems. Part 2: Express Briefs 55(5): 423-426 (2008)
ResumenRecently, 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.
Descripción4 pages, no figures.
Versión del editorhttp://dx.doi.org/10.1109/TCSII.2007.914441
URIhttp://hdl.handle.net/10261/12993
DOI10.1109/TCSII.2007.914441
ISSN1549-7747
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