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 q_e by dividing the upper two digits (a digit having e.g. a size of 8 byte) of r by the upper digit of n and then decrements q_e in a loop until it has the correct size. Observing the number of times q_e is decremented through a control-flow revealing side-channel reveals a bias in the most significant bits of k. Depending on the curve this is either a negligible bias or a significant bias large enough to reconstruct k with lattice reduction methods. For SECP160R1, e.g., we find a bias of 15 bits.
CVSS
- Versión: 3.1
- Vector: CVSS:3.1/AV:N/AC:L/PR:H/UI:N/S:U/C:H/I:N/A:N
- Puntuación base: 4.9
Probabilidad de explotación (EPSS)
- Probabilidad de explotación en los próximos 30 días: 0.35%
- Percentil entre todas las CVEs puntuadas: 26
- Fecha de la puntuación: 7/10/2026
EPSS (Exploit Prediction Scoring System, de FIRST) estima la probabilidad de que una vulnerabilidad sea explotada en 30 días. Complementa a CVSS (impacto) y a CISA KEV (explotación confirmada).
Tecnologías afectadas (1)
CWE
- CWE-203
Referencias
JSON original (NVD)
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"value": "Generating the ECDSA nonce k samples a random number r and then \ntruncates this randomness with a modular reduction mod n where n is the \norder of the elliptic curve. Meaning k = r mod n. The division used \nduring the reduction estimates a factor q_e by dividing the upper two \ndigits (a digit having e.g. a size of 8 byte) of r by the upper digit of \nn and then decrements q_e in a loop until it has the correct size. \nObserving the number of times q_e is decremented through a control-flow \nrevealing side-channel reveals a bias in the most significant bits of \nk. Depending on the curve this is either a negligible bias or a \nsignificant bias large enough to reconstruct k with lattice reduction \nmethods. For SECP160R1, e.g., we find a bias of 15 bits."
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"value": "Generar el nonce k ECDSA muestra un número aleatorio r y luego trunca esta aleatoriedad con una reducción modular mod n donde n es el orden de la curva elíptica. Significado k = r mod n. La división utilizada durante la reducción estima un factor q_e dividiendo los dos dígitos superiores (un dígito que tiene, por ejemplo, un tamaño de 8 bytes) de r por el dígito superior de n y luego disminuye q_e en un bucle hasta que tenga el tamaño correcto. Observar el número de veces que q_e disminuye a través de un canal lateral revelador de flujo de control revela un sesgo en los bits más significativos de k. Dependiendo de la curva, esto es un sesgo insignificante o un sesgo significativo lo suficientemente grande como para reconstruir k con métodos de reducción de celosía. Para SECP160R1, por ejemplo, encontramos un sesgo de 15 bits."
}
],
"lastModified": "2026-06-17T07:04:27.800",
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