fkie_cve-2024-1544
Vulnerability from fkie_nvd
Published
2024-08-27 19:15
Modified
2025-12-06 01:03
Severity ?
4.1 (Medium) - CVSS:3.1/AV:L/AC:H/PR:H/UI:N/S:U/C:H/I:N/A:N
4.9 (Medium) - CVSS:3.1/AV:N/AC:L/PR:H/UI:N/S:U/C:H/I:N/A:N
Summary
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.
References
facts@wolfssl.comhttps://github.com/wolfSSL/wolfssl/releases/tag/v5.7.2-stableRelease Notes
Impacted products
Vendor Product Version
wolfssl wolfssl *


To clipboard 

{
  "configurations": [
    {
      "nodes": [
        {
          "cpeMatch": [
            {
              "criteria": "cpe:2.3:a:wolfssl:wolfssl:*:*:*:*:*:*:*:*",
              "matchCriteriaId": "F0F4729E-754A-4CB1-A77D-1E1E97F0F69B",
              "versionEndExcluding": "5.7.2",
              "vulnerable": true
            }
          ],
          "negate": false,
          "operator": "OR"
        }
      ]
    }
  ],
  "cveTags": [],
  "descriptions": [
    {
      "lang": "en",
      "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."
    },
    {
      "lang": "es",
      "value": "Generar el nonce k ECDSA muestra un n\u00famero aleatorio r y luego trunca esta aleatoriedad con una reducci\u00f3n modular mod n donde n es el orden de la curva el\u00edptica. Significado k = r mod n. La divisi\u00f3n utilizada durante la reducci\u00f3n estima un factor q_e dividiendo los dos d\u00edgitos superiores (un d\u00edgito que tiene, por ejemplo, un tama\u00f1o de 8 bytes) de r por el d\u00edgito superior de n y luego disminuye q_e en un bucle hasta que tenga el tama\u00f1o correcto. Observar el n\u00famero de veces que q_e disminuye a trav\u00e9s de un canal lateral revelador de flujo de control revela un sesgo en los bits m\u00e1s significativos de k. Dependiendo de la curva, esto es un sesgo insignificante o un sesgo significativo lo suficientemente grande como para reconstruir k con m\u00e9todos de reducci\u00f3n de celos\u00eda. Para SECP160R1, por ejemplo, encontramos un sesgo de 15 bits."
    }
  ],
  "id": "CVE-2024-1544",
  "lastModified": "2025-12-06T01:03:02.317",
  "metrics": {
    "cvssMetricV31": [
      {
        "cvssData": {
          "attackComplexity": "HIGH",
          "attackVector": "LOCAL",
          "availabilityImpact": "NONE",
          "baseScore": 4.1,
          "baseSeverity": "MEDIUM",
          "confidentialityImpact": "HIGH",
          "integrityImpact": "NONE",
          "privilegesRequired": "HIGH",
          "scope": "UNCHANGED",
          "userInteraction": "NONE",
          "vectorString": "CVSS:3.1/AV:L/AC:H/PR:H/UI:N/S:U/C:H/I:N/A:N",
          "version": "3.1"
        },
        "exploitabilityScore": 0.5,
        "impactScore": 3.6,
        "source": "facts@wolfssl.com",
        "type": "Secondary"
      },
      {
        "cvssData": {
          "attackComplexity": "LOW",
          "attackVector": "NETWORK",
          "availabilityImpact": "NONE",
          "baseScore": 4.9,
          "baseSeverity": "MEDIUM",
          "confidentialityImpact": "HIGH",
          "integrityImpact": "NONE",
          "privilegesRequired": "HIGH",
          "scope": "UNCHANGED",
          "userInteraction": "NONE",
          "vectorString": "CVSS:3.1/AV:N/AC:L/PR:H/UI:N/S:U/C:H/I:N/A:N",
          "version": "3.1"
        },
        "exploitabilityScore": 1.2,
        "impactScore": 3.6,
        "source": "nvd@nist.gov",
        "type": "Primary"
      }
    ]
  },
  "published": "2024-08-27T19:15:16.547",
  "references": [
    {
      "source": "facts@wolfssl.com",
      "tags": [
        "Release Notes"
      ],
      "url": "https://github.com/wolfSSL/wolfssl/releases/tag/v5.7.2-stable"
    }
  ],
  "sourceIdentifier": "facts@wolfssl.com",
  "vulnStatus": "Analyzed",
  "weaknesses": [
    {
      "description": [
        {
          "lang": "en",
          "value": "CWE-203"
        }
      ],
      "source": "facts@wolfssl.com",
      "type": "Secondary"
    }
  ]
}


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