Breaking ECDSA with Two Affinely Related Nonces

The security of the Elliptic Curve Digital Signature Algorithm ECDSA depends on the uniqueness and secrecy of the nonce, which is used in each signature. While it is well understood that nonce $k$ reuse across two distinct messages can leak the private key, we show that even if a distinct value i...

Google Chrome Switches to ML-KEM for Post-Quantum Cryptography Defense

Google has announced that it will be switching from KYBER to ML-KEM in its Chrome web browser as part of its ongoing efforts to defend against the risk posed by cryptographically relevant quantum computers CRQCs. "Chrome will offer a key share prediction for hybrid ML-KEM codepoint 0x11EC," David...

DEBIAN-CVE-2024-1544

Generating the ECDSA nonce k samples a random number r and then truncates this randomness with a modular reduction mod n where n is the order of the elliptic curve. Meaning k = r mod n. The division used during the reduction estimates a factor qe by dividing the upper two digits a digit having e....

CVE-2024-1544

Generating the ECDSA nonce k samples a random number r and then truncates this randomness with a modular reduction mod n where n is the order of the elliptic curve. Meaning k = r mod n. The division used during the reduction estimates a factor qe by dividing the upper two digits a digit having e....

UBUNTU-CVE-2024-1544

Generating the ECDSA nonce k samples a random number r and then truncates this randomness with a modular reduction mod n where n is the order of the elliptic curve. Meaning k = r mod n. The division used during the reduction estimates a factor qe by dividing the upper two digits a digit having e....

CVE-2024-1544 ECDSA nonce bias caused by truncation

Generating the ECDSA nonce k samples a random number r and then truncates this randomness with a modular reduction mod n where n is the order of the elliptic curve. Meaning k = r mod n. The division used during the reduction estimates a factor qe by dividing the upper two digits a digit having e....

CVE-2024-1544 ECDSA nonce bias caused by truncation

Generating the ECDSA nonce k samples a random number r and then truncates this randomness with a modular reduction mod n where n is the order of the elliptic curve. Meaning k = r mod n. The division used during the reduction estimates a factor qe by dividing the upper two digits a digit having e....

Lattice-Based Cryptosystems and Quantum Cryptanalysis

Quantum computers are probably coming, though we dont know when--and when they arrive, they will, most likely, be able to break our standard public-key cryptography algorithms. In anticipation of this possibility, cryptographers have been working on quantum-resistant public-key algorithms. The...

New Lattice Cryptanalytic Technique

A new paper presents a polynomial-time quantum algorithm for solving certain hard lattice problems. This could be a big deal for post-quantum cryptographic algorithms, since many of them base their security on hard lattice problems. A few things to note. One, this paper has not yet been peer...

Improving the Cryptanalysis of Lattice-Based Public-Key Algorithms

The winner of the Best Paper Award at Crypto this year was a significant improvement to lattice-based cryptanalysis. This is important, because a bunch of NISTs post-quantum options base their security on lattice problems. I worry about standardizing on post-quantum algorithms too quickly. We are...

A Celebrated Cryptography-Breaking Algorithm Just Got an Upgrade

Two researchers have improved a well-known technique for lattice basis reduction, opening up new avenues for practical experiments in cryptography and mathematics...

PT-2023-9405

Name of the Vulnerable Software and Affected Versions WolfSSL affected versions not specified Description The issue is related to the generation of the ECDSA nonce k, where a random number r is selected and then reduced modulo n, the order of the elliptic curve. The division used during the...

Experts Uncover Passive Method to Extract Private RSA Keys from SSH Connections

A new study has demonstrated that it's possible for passive network attackers to obtain private RSA host keys from a vulnerable SSH server by observing when naturally occurring computational faults that occur while the connection is being established. The Secure Shell SSH protocol is a method for...

SUSE CVE-2020-10932

An issue was discovered in Arm Mbed TLS before 2.16.6 and 2.7.x before 2.7.15. An attacker that can get precise enough side-channel measurements can recover the long-term ECDSA private key by 1 reconstructing the projective coordinate of the result of scalar multiplication by exploiting side...

wolfCrypt leaks cryptographic information via timing side channel

wolfSSL and wolfCrypt 4.0.0 and earlier when configured without --enable-fpecc, --enable-sp, or --enable-sp-math contain a timing side channel in ECDSA signature generation. This allows a local attacker, able to precisely measure the duration of signature operations, to infer information about th...

GHSA-Q95H-VC86-HV77 wolfCrypt leaks cryptographic information via timing side channel

wolfSSL and wolfCrypt 4.0.0 and earlier when configured without --enable-fpecc, --enable-sp, or --enable-sp-math contain a timing side channel in ECDSA signature generation. This allows a local attacker, able to precisely measure the duration of signature operations, to infer information about th...

CVE-2020-10932

An issue was discovered in Arm Mbed TLS before 2.16.6 and 2.7.x before 2.7.15. An attacker that can get precise enough side-channel measurements can recover the long-term ECDSA private key by 1 reconstructing the projective coordinate of the result of scalar multiplication by exploiting side...

ALPINE-CVE-2020-10932

An issue was discovered in Arm Mbed TLS before 2.16.6 and 2.7.x before 2.7.15. An attacker that can get precise enough side-channel measurements can recover the long-term ECDSA private key by 1 reconstructing the projective coordinate of the result of scalar multiplication by exploiting side...

DEBIAN-CVE-2020-10932

An issue was discovered in Arm Mbed TLS before 2.16.6 and 2.7.x before 2.7.15. An attacker that can get precise enough side-channel measurements can recover the long-term ECDSA private key by 1 reconstructing the projective coordinate of the result of scalar multiplication by exploiting side...

UBUNTU-CVE-2020-10932

An issue was discovered in Arm Mbed TLS before 2.16.6 and 2.7.x before 2.7.15. An attacker that can get precise enough side-channel measurements can recover the long-term ECDSA private key by 1 reconstructing the projective coordinate of the result of scalar multiplication by exploiting side...