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Bcrypt

Bcrypt protects secrecy, integrity, or authenticity with a named cryptographic primitive.

Quick Facts

Compact metadata for implementation and discovery.

Category
Cryptography
Difficulty
Intermediate
Family
Password Hashing
Tier
Core
Status
Verified
Review
Source Checked
Sources
1
Formulas
1
Relationships
1
Code example
Ready
Visualization
Ready

Overview

Bcrypt is a cryptographic method that protects confidentiality, authenticity, or integrity with a defined primitive or protocol step. It should be used only as part of a well-defined protocol with correct parameters and key handling.

Core Concepts

key materialsecurity parameterverification ruleverification

Quick facts

Complexity

Runtime and memory behavior at a glance.

Best

O(n)

Average

O(n)

Worst

O(n)

Space

O(1)

When to Use

  • Use Bcrypt only when the protocol calls for this specific primitive or construction.
  • Use it when a vetted implementation is available and parameter handling can be enforced.

When Not to Use

  • Avoid custom protocol combinations around this primitive.
  • Avoid when nonce, key, padding, or parameter requirements cannot be enforced.

What It Does

  • Computes password hashing within Password Hashing workloads (O(n) time, O(1) space).
  • Works by It should be used only as part of a well-defined protocol with correct parameters and key handling.
  • Maintains key invariants across key material, security parameter, verification rule.

Use Cases

  • Secure communication
  • Authentication
  • Key management

Inputs

  • Message or secret
  • Key material
  • Nonce, salt, or public parameters

Outputs

  • Ciphertext, tag, key, signature, or proof
  • Verification result

Key Formulas (1)

Password hash

hash = bcrypt(password, salt, cost)
hash = bcrypt(password, salt, cost)

Combines a password, salt, and work factor into a slow verification hash.

Pseudocode

  1. 1.Validate keys, nonces, and required parameters
  2. 2.Apply the primitive's block, group, hash, or verification operation
  3. 3.Combine intermediate values according to the construction
  4. 4.Return the ciphertext, tag, key, signature, proof, or verification result

Canonical Example

Input
message = 'pay 10', key material = provided, nonce or public parameters = provided
Output
protected value or verification result
Explanation
Bcrypt applies its defined cryptographic operation without inventing extra protocol steps.

Implementation Notes

  • Use vetted implementations for low-level primitives.
  • Validate parameter lengths, nonce handling, and authentication failure behavior explicitly.

Common Pitfalls

  • Reusing nonces, salts, or ephemeral values can break security assumptions.
  • Treating a primitive as a full protocol invites key-management and authentication mistakes.

Interactive Mechanism Walkthrough

Graph Frontier & Edge Relaxation

Show messages, keys, nonces, and verification values moving through the cryptographic construction.

Bcrypt mechanism walkthrough step 1 of 4suvwxt
Step 1 of 4: Validate keys, nonces, and required parameters
crypto

Notes

Bcrypt operates in O(n) time and O(1) space within the Password Hashing family. Key governing relation: hash = bcrypt(password, salt, cost). Often compared with PBKDF2 and Scrypt.

Sources (1)

What each reference supports for this entry.

Provos and Mazieres 1999

Paper

Original USENIX paper presenting bcrypt and its adaptable cost design, supporting Bcrypt.

Open source

Explore Next

Good next jumps from the relationship graph, ranked for useful discovery.

Conceptual neighborPBKDF2

Bcrypt and PBKDF2 address nearby cryptography problems but make different implementation tradeoffs.

Tags

CryptographySecurityPassword HashingKey Derivation