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ISO 9796-1, published in 1991, was the first standard specifying a digital signature scheme with message recovery. In [4], Coron, Naccache and Stern described an attack on a slight modification of ISO 9796- 1. Then, Coppersmith, Halevi and Jutla turned it into an attack against the standard in full [2]. They also proposed five countermeasures for repairing it. In this paper, we show that all these countermeasures can be attacked, either by using already existing techniques (including a very recent one), or by introducing new techniques, one of them based on the decomposition of an integer into sums of two squares.

Cryptanalysis of Countermeasures Proposed for Repairing ISO 9796-1