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Lecture Notes in Computer Science
We investigate the hardness of finding solutions to bivariate polynomial congruences modulo RSA composites. We establish necessary conditions for a bivariate polynomial to be one-way, second preimage resistant, and collision resistant based on arithmetic properties of the polynomial. From these conditions we deduce a new computational assumption that implies an efficient algebraic collision-resistant hash function. We explore the assumption and relate it to known computational problems. Thedoi:10.1007/978-3-662-45611-8_3 fatcat:3rim4gol2jcqdlzkbbw5t24cjq