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Calcimator

Security Strength Calculator

Calculate overall cryptographic security strength, equivalent key lengths, and security lifetime estimates.

About this calculator

This calculator estimates a cryptosystem's overall security level in bits -- the number of brute-force operations, expressed as a power of two, an attacker needs to break the weakest of its three components. It converts each raw key/output length into a real security-bit estimate using the anchor points published in NIST SP 800-57 Part 1 Revision 5 (Table 2, "Comparable strengths"), the federal government's own reference table for how symmetric, RSA/DSA/DH, and elliptic-curve key sizes line up against each other: a symmetric key's bit length IS its security level, an RSA modulus's security level scales far more slowly than its bit length because factoring is sub-exponential (RSA-2048 is only about 112-bit secure, not 1024-bit), and a hash's collision resistance is about half its output length under the birthday bound. Overall Security is the minimum of the three -- a chain is only as strong as its weakest link -- so at the shipped defaults (AES-128, RSA-2048, SHA-256) the RSA key is what actually limits the system to 112-bit security; the symmetric key and hash both carry headroom above that floor, so nudging either one alone does nothing to Overall Security until it is pushed low enough to become the new weakest link.

Equivalent RSA Key and Equivalent ECC Key translate a symmetric security level into the classical and elliptic-curve key sizes NIST considers equally strong. Security Lifetime is explicitly a rough order-of- magnitude estimate, not a prediction: real cryptanalytic advances and hardware progress do not follow a single clean formula, so treat it as illustrative rather than a deadline.

Inputs

bits
bits
bits

Results

Overall Security Level

112 bits

Security Lifetime

65,536 years

Symmetric Security128 bits
Asymmetric Security112 bits
Hash Security128 bits
Equivalent RSA Key3,072 bits

Figures current as of 2020. Source: NIST SP 800-57 Part 1, Revision 5, "Recommendation for Key Management: Part 1 – General", Table 2, National Institute of Standards and Technology

How to Use This Calculator
  1. Enter your Symmetric Key Length in bits (e.g. AES-128, AES-256).
  2. Enter your Asymmetric Key Length in bits (e.g. RSA-2048, RSA-3072).
  3. Enter your Hash Length in bits (e.g. SHA-256, SHA-512).
  4. Review Overall Security Level -- it reports the WEAKEST of the three components' NIST-equivalent bit strength, not a simple average.
  5. Check Equivalent RSA/ECC Key and Security Lifetime to see what classical/elliptic-curve key size and rough order-of-magnitude timeframe correspond to your current setup.

How the result changes with Asymmetric Key Length

Asymmetric Key LengthOverall Security LevelSecurity Lifetime
1,02480 bits1 years
1,536112 bits65,536 years
3,072128 bits16,777,216 years
5,120128 bits16,777,216 years

What each input means

Symmetric Key Length
Symmetric encryption key length (AES, etc.)
Asymmetric Key Length
Asymmetric key length (RSA, etc.)
Hash Length
Hash function output length

How this is calculated

Formula

Overall Security = min(Symmetric, Asymmetric, Hash)

Worked example, using the default values

  1. Identify Input Parameters
    Symmetric Key Length = 128, Asymmetric Key Length = 2048, Hash Length = 256 = 3 input(s) provided
  2. Calculate Overall Security Level
    Overall Security Level
    112 = 112
  3. Calculate Security Lifetime
    Security Lifetime
    65536 = 65536
  4. Calculate Symmetric Security
    Symmetric Security
    128 = 128
  5. Calculate Asymmetric Security
    Asymmetric Security
    112 = 112

Figures and sources

Engine last updated . Checked against 3 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why doesn't raising the symmetric key length change my overall security?

Because Overall Security reports the WEAKEST of the three components, and at the default combination (AES-128, RSA-2048, SHA-256) the RSA key is the binding constraint at about 112-bit security -- both the symmetric key (128-bit) and the hash's collision resistance (128-bit) already sit above that floor. Raising the symmetric key length further only widens a margin that isn't the bottleneck; you would need to raise the RSA key size to move the overall number.

Why is RSA-2048 only rated at 112-bit security instead of 2048-bit?

Because breaking RSA means factoring its modulus, and the best known factoring algorithms (the general number field sieve) run in sub-exponential time -- far faster than the brute-force key search a symmetric cipher requires. A 2048-bit RSA modulus is estimated to take about as much computational effort to factor as a 112-bit symmetric key takes to brute-force, per Table 2 of NIST SP 800-57 Part 1 Revision 5 (nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.800-57pt1r5.pdf), which is why the two numbers look so different for keys that are meant to offer comparable protection. That published table only anchors 1024/2048/3072/7680/15360-bit moduli, though -- the ~140-bit rating this calculator shows for a 4096-bit key is a commonly-cited linear interpolation between the 3072 and 7680 anchors, not an official NIST breakpoint, and any other non-anchor gap (e.g. between 7680 and 15360) is conservatively held at the last confirmed anchor instead of interpolating or rounding up early.

Why is the equivalent ECC key size smaller than the equivalent RSA key size?

Elliptic-curve cryptography gets its security from a harder mathematical problem (the elliptic curve discrete logarithm) than RSA's factoring problem, so it needs a much smaller key to reach the same security level -- roughly double the symmetric security level in bits, versus RSA's roughly-3000-bit modulus for a 128-bit security level. That is why a 256-bit ECC key and a 3072-bit RSA key are both considered equivalent to a 128-bit symmetric key.

What does the recommended key length table actually represent?

It reports the NIST-anchored reference key sizes for the security tier your current Overall Security falls into: the 256/7680/512-bit tier at 192-bit security and above, the 128/3072/256-bit tier from 128 up to 192, and the 80/1024/160-bit legacy tier below that. It is meant as a reference point for which tier you are currently operating in, not a live recommendation to downgrade if you already exceed a tier's minimum.

Should I trust the Security Lifetime number as a real deadline?

No -- treat it as an order-of-magnitude illustration, not a forecast. It is built from a simple exponential formula anchored to a rough historical reference point, and real cryptographic risk depends on unpredictable factors like new cryptanalytic techniques, quantum computing progress, and implementation flaws that no closed-form formula captures. Use published NIST or NSA transition timelines for actual compliance planning.

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