A failure in decryption process for bivariate polynomial reconstruction problem cryptosystem

Autor: Siti Nabilah Yusof, Muhammad Rezal Kamel Ariffin, Sook-Chin Yip, Terry Shue Chien Lau, Zahari Mahad, Ji-Jian Chin, Choo-Yee Ting
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Heliyon, Vol 10, Iss 4, Pp e25470- (2024)
Druh dokumentu: article
ISSN: 2405-8440
DOI: 10.1016/j.heliyon.2024.e25470
Popis: In 1999, the Polynomial Reconstruction Problem (PRP) was put forward as a new hard mathematics problem. A univariate PRP scheme by Augot and Finiasz was introduced at Eurocrypt in 2003, and this cryptosystem was fully cryptanalyzed in 2004. In 2013, a bivariate PRP cryptosystem was developed, which is a modified version of Augot and Finiasz's original work. This study describes a decryption failure that can occur in both cryptosystems. We demonstrate that when the error has a weight greater than the number of monomials in a secret polynomial, p, decryption failure can occur. The result of this study also determines the upper bound that should be applied to avoid decryption failure.
Databáze: Directory of Open Access Journals