International Association
for Cryptologic Research

Recently, a more efficient attack on the initial tropical Stickel protocol has been proposed, different from the previously known Kotov-Ushakov attack, yet equally guaranteed to succeed. Given that the Stickel protocol can be implemented in various ways, such as utilizing platforms beyond the tropical semiring or employing alternative commutative matrix ``classes'' instead of polynomials, we firstly explore the generalizability of this new attack across different implementations of the Stickel protocol. We then conduct a comprehensive security analysis of a tropical variant that successfully resists this new attack, namely the Stickel protocol based on Linde-de la Puente (LdlP) matrices. Additionally, we extend the concept of LdlP matrices beyond the tropical semiring, generalizing it to a broader class of semirings.