On the Impact of the SHA-1 Collider on Mexican Digital Signatures with Legal Binding

Authors

  • Luis Julian Domínguez Pérez CIMAT Zacatecas
  • Laiphel M. Gómez Trujillo Centro de Investigación y de Estudios Avanzados CINVESTAV-IPN
  • Nareli Cruz Cortés Centro de Investigación en Computación-IPN
  • Francisco Rodríguez Henríquez Centro de Investigación y de Estudios Avanzados CINVESTAV-IPN

DOI:

https://doi.org/10.13053/cys-23-4-3103

Keywords:

SHA, digital signatures, RSA

Abstract

Security warranties of the RSA-type digital signatures are based on two main hypothesis: First, in the assumption that factoring gigantic integer numbers is a computationally unfeasible problem. Second, in the assumption that hash functions produce a unique digest for any digital document. With these two hypothesis in mind, in the last decades in Mexico, and also in other countries, legislation has been enacted to legalize digital signatures. In Mexico, the combination of the RSA algorithm and the SHA-1 hash function can be used to legally validate digital contracts. This selection of algorithms is known as the RSA-SHA-1 digital signature. However, recently the SHA-1 hash function has suffered a {\it falsification} attack in which, given an arbitrary document for which the SHA-1 digest was produced, it is possible to generate a second document with the same digest. In other words, this attack permits to find arbitrary pairs of documents that share the same digest. This situation has provoked that the RSA-SHA-1 algorithm used to sign legal contracts is on risk to be broken. In this article, some of the repercussions in the information security of the legal documents signed with this protocol are discussed. We also discuss some countermeasures that can mitigate this vulnerability.

Author Biographies

Luis Julian Domínguez Pérez, CIMAT Zacatecas

CONACyT Research Fellow.

Laiphel M. Gómez Trujillo, Centro de Investigación y de Estudios Avanzados CINVESTAV-IPN

M.Sc. Student

Nareli Cruz Cortés, Centro de Investigación en Computación-IPN

Professor

Francisco Rodríguez Henríquez, Centro de Investigación y de Estudios Avanzados CINVESTAV-IPN

Professor

Published

2019-12-20

Issue

Section

Articles