Abstract
In this note, an interesting trend about the way in which the number theory in multicast networks is often applied, is reported. Surprisingly, in recent years, some new proposals for key distribution schemes are still proposed employing very similar erroneous concepts than those applied in 1999, which were already reported by professor Muñoz-Masqué in 2005. Some apparently well-constructed cryptographic equations suffer from a real weakness due to a flaw in the definition of the cryptographic keys, allowing to perform an easy factorization and, as a consequence, the recovering of the user’s keys. Thirteen years later, very similar weaknesses arise.
Dedicated to Jaime Muñoz Masqué, unquestionable reference and irreplaceable guide in science and life on the occassion of his 65th birthday
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Acknowledgments
This work has been partially supported by project TIN2014-55325-C2-1-R (ProCriCiS), funded by Ministerio de Economía y Competitividad, Spain.
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Peinado, A. (2016). Flaws in the Application of Number Theory in Key Distribution Schemes for Multicast Networks. In: Castrillón López, M., Hernández Encinas, L., Martínez Gadea, P., Rosado María, M. (eds) Geometry, Algebra and Applications: From Mechanics to Cryptography. Springer Proceedings in Mathematics & Statistics, vol 161. Springer, Cham. https://doi.org/10.1007/978-3-319-32085-4_16
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