Researchers showed that ECDSA implementations can fail catastrophically when nonce handling or cryptographic execution leaks even tiny amounts of information. The LadderLeak paper demonstrated private-key recovery from less than one bit of nonce leakage by exploiting side-channel weakness in ECDSA implementations that use the Montgomery ladder, and reported that several OpenSSL versions were vulnerable. The attack combined probabilistic leakage of the nonce’s most significant bit with improved Hidden Number Problem techniques to recover keys on curves including sect163r1 and NIST P-192.
Related reporting highlighted broader implementation risk across hardware and software cryptography stacks, including surveys of deterministic ECDSA per RFC6979 in open-source libraries such as Mbed TLS, GnuTLS, and OpenSSL, checks for RFC6979 support in smart-card and HSM environments, and a separate report of memory corruption in the Java Card Runtime Environment (JCRE) that could affect unpatchable HSM devices and expose private keys. Together, the references show that weak nonce generation, side-channel leakage, and hardware runtime flaws can all undermine ECDSA key protection even when standard cryptographic algorithms are used.

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The paper "LadderLeak: Breaking ECDSA With Less Than One Bit Of Nonce Leakage" was published as Cryptology ePrint Archive Paper 2020/615. It described a new side-channel vulnerability class affecting ECDSA implementations using the Montgomery ladder and reported that several recent OpenSSL versions were vulnerable to practical key-recovery attacks.
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